13. LANDSCAPE George hired some people to work on his yard one day per week for a month. At the end of the month George received a bill. On the bill he was charged $230 for 12 hours worth of work, including a monthly service fee of $50. a. Assuming that the relationship between the amount of the bill and the number of hours worked is linear, write an equation for this relationship. b. What is the slope of the line? What are the units associated with the slope of the line? What does the slope tell you about the problem situation? c. What is the vertical intercept of the line? What does the vertical intercept tell you abou" the problem situation?

13. LANDSCAPE George hired some people to work on his yard one day per week for a month. At the end of the month George received a bill. On the bill he was charged $230 for 12 hours worth of work, including a monthly service fee of $50. a. Assuming that the relationship between the amount of the bill and the number of hours worked is linear, write an equation for this relationship. b. What is the slope of the line? What are the units associated with the slope of the line? What does the slope tell you about the problem situation? c. What is the vertical intercept of the line? What does the vertical intercept tell you abou" the problem situation?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 1: What is the slope of the line shown in the graph? A: m 1.5 B: m = 2 C: m 1 -1 D: m = -3 -2

A: The line pass through points (0,-3) and (1,-1)

Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines, L: 3x-4y=2 M: x+2y=4 Note: In question 6, Dan receiving amount…

Q: A swimming pool is 50.0 ft. wide, 78.0 ft. long, 3.50 ft. deep at one end, and 8.75 ft. deep at the…

Q: A. State the slope of the line as an integer or reduced fraction: B. State the y-intercept of the…

Q: 8.) Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still…

Q: 8. What does the slope represent in the context below? A. The slope of 24 tells how much an LCD TV…

A: The slope in the question: Slope = difference in cost / increase in diagonal size

Q: Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he…

A: Given, in 2010 Finbar bought his home $150,000 property value increase 10% every year, To find the…

Q: b. Table kWh Monthly bill $20 $35 $50 100 200 500 $95 1000 $170 Slope? Explanation:

A: Slope=0.15

Q: Let’s say you bought a car for $12,500. The car is expected to last for 8 years and then it can be…

Q: For a certain line, a run of 4 feet corresponds to a rise of 3 feet. What is the slope of this line?

A: given

Q: Line f has a slope of -2 and line g has a slope of -8/4. What relationship do the lines have, based…

A: Given that: Slope of line f=-2Slope of line g=-8/4

Q: a. Graph the points from the table below (remember to connect your dots with arrow heads) b. What is…

Q: 7. George Boateng paid GH¢ 29 for 11 books. Some of the books were geography books, and the rest…

A: Given: Total books bought =11 Cost of geography book GHe=3. Cost of history book GHe=2. Let the…

Q: 1. Suppose that an electricity bill functions similarly to the summer rates in M.2 but we don’t know…

A: Given Information - Nate’s bill for 1417 kWh in June was $165.15, and it was $202.24 in July for…

Q: TEMPERATURE CONVERSION The relationship between the temperature in degrees Fahrenheit (°F) and the…

A: This question can be solved using the concept of slope intercept form of line.

Q: 13. ANTHONY’s SALARY Anthony receives a base salary of $1800 per month plus a commission that is 5%…

A: topic - equations

Q: e. Slope = f. Intercept = g. Predict how much interest someone would have if their anxiety score was…

A: (e) slope = 0.409 (f) Intercept = 1.653

Q: 7. Which point below is on the line y- (-20) b. (-64) a. (1.3) (3-) C. d. 8. What is the slope of…

Q: 1. Anakin is saving for a Xbox One. He currently has $165 saved and earns $40 per week doing chores…

Q: During one month, the rate for renting a particular car model was $68.56 per day plus 25¢ per mile.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

13. LANDSCAPE George hired some people to work on his yard one day per week for a month.
At the end of the month George received a bill. On the bill he was charged $230 for 12 hours
worth of work, including a monthly service fee of $50.
a. Assuming that the relationship between the amount of the bill and the number of hours
worked is linear, write an equation for this relationship.
b. What is the slope of the line? What are the units associated with the slope of the line?
What does the slope tell you about the problem situation?
C. What is the vertical intercept of the line? What does the vertical intercept tell you about
the problem situation?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Y 2500 5000 →X 2 The above shows the average cost, y (in dollars), that a hospital incurs for a 2-day patient stay.
9. sofe a. Graph y=-x. b. Translate the line in part (a) to the right 2 units and up 3 units. c. Write the equation for the translated line in part (b) in the form, y = m(x-h) + k, where h 1 is the amount that the graph of y=-x is translated to the right and k is the amount that the line is translated up. Y = d. What is the y-coordinate of the point on the translated line when the x-coordinate is 2? 10-8 10 8 10
Ensure to show your steps of calculations, formula and provide clear a. Sketch the graph of the function from l=0 to l=13 to show the relationship between the litres used and the cost of water. Note: Use appropriate labelling and units. b. Use your graph to determine the monthly water charge if a consumer used, i. 3500L ii. 9000L iii. 12,500L c. Find the equations of each line segment of the graph.
A researcher collects data on both lemon imports (x) and the crash fatality rate (y) in the USA. The seven observations are randomly selected cities across the country, Crash Fatality Rate 16 15.8 SUMMARY OUTPUT 15.6 15.4 Regression Statistics Multiple R R Square Adjusted R Square 0.939894457 15.2 0.88340159 0.860081907 15 Standard Error 0.125395887 Observations 14.8 100 200 300 400 500 600 ANOVA df MS Significance F Regression Residual 0.595665072 0.595665 37.88223 0.001646686 5 0.078620642 0.015724 Total 6 0.674285714 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 16.51743501 0.18315002 90.18528 3.18E-09 16.04663289 16.988237 16.0466329 16.9882371 Lemon Imports -0.002918088 0.000474112 -6.15485 0.001647 -0.00413683 -0.0016993 -0.0041368 -0.00169935 What is the regression equation? Oy = 16.517x - 0.003 Oý = 16.517 - 0.003x Oy = 16.517 – 0.003x Oý = 16.517x-0.003 The best description of the correlation is to describe it as strong linear…
a. Find the slope of the line below. ty 2- 4 6. -2 b. Write an equation in slope-intercept form for a line that is perpendicular to the line in part a and has the same y-intercept as the function in part a. Show your work and explain how you found your answer.
Determine the slope of the line above. A.1/2B.2/3C.1D.2
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 4.40). What is the slope of the graph? What is the unit rate? Complete the explanation. The slope is [blank]. The unit rate is $[blank]/min. If the graph of a proportional relationship passes through the point ([blank, r), then r equals the slope and unit rate.
3. Which is closet to the slope of the line graphed below? 8 A. 1 B. -1 C. 2 D.-2 A
What's the answer
Find the slope of the line that passes through the points (15, −12) and (−10, 8). A. 5/4 B. 4 C. 4/5 D. −5/4 E. -4/5
1. Fill in the chart with the correct slope for the line parallel or perpendicular to the given slope. m= m= m = -4 m = 3 m = Parallel Perpendicular %3D Perpendicular m = m = m = m = m = |
3. A car that Sophia wants to buy costs $34,000. She does research and finds that after 12 years the car depreciates to a value of zero. If the car depreciates in straight line form, write the straight line depreciation equation. X=0 y= $34,000 X-12 y = $0 (, $) ( , $ ) Write 2 points represented by this Find the slope of those 2 points. x2-x, Use the slope to write the equation. y= .... 4. A car traveling on asphalt makes a sudden stop. The drag factor of the road is 1.25 and the brakes are operating at 87% efficiency. If the car leaves 4 distinct skid marks that are 58 feet long, how fast was the car traveling. S= 30Dfn D= skid mark length f= drag factor n= brake efficiency written as a decimal CHAPTER 4 TEST NAME 7. Victor found 5 cars online that he will go to see. The prices of the cars are: $4,300; $4,250; $4,500; $3,950; and $4,200. What is the median car price? First, put the values in ascending order, lowest to highest; 5. Kenya is driving on the highway at a speed of 80 mph.…