3) A vendor of hot dogs at school ball games profits $100 on the sale of 300 hot dogs and $130 onthe sale of 360 hot dogs. Assume a linear relationship between profit and the quantity x of hotdogs.a. Find the equation that illustrates the relationship between the profits earned and thenumber of hot dogs sold.b. What does the slope of the line tell us?С.How many hot dogs would need to be sold in order to break even?

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

Bella types at a constant rate of 42 words per minute. Is the number of words she can type proportional to the number of minutes she types? Create a table to determine the relationship. Minutes Number of Words 1 Describe the difference.... 42 2 3 Side Length (inches) 1 4 5 2 8 84 12 The table below shows the relationship between the side length of a square and the area. Complete the table. Then, determine if the length of the sides is proportional to the area. 3 126 Area (square inches) 1 6 9 16 25 64 144 168 60 1680
Darnell has recorded the estimated value of his car each year since 2017. Let x=1 correspond to the year 2017. Find the slope-intercept form of the equation for the line that passes through the points representing the value of his car in 2017, (1,24,349), and the value of his car in 2021, (5,17,999). Round the slope to the nearest hundredth, if necessary. Year Value, $$ 2017 24,349 2018 22,200 2019 20,100 2020 19,100 2021 17,999
B. The table below shows how profit at a toy company changes with sales. Sales Profit $12 $4 $18 $6 $24 $8 1. Write an equation to show how profit changes with .dar sales. Use s for sales and p for profit. 2. Use the equation to find the profit when s = 42. 3. Use the equation to find the profit when s = 60.
Please answer a and b in detail. Thank you!
Which sentences describe a proportional relationship between dollars and hours? Jasmine earns $8.50 an hour to mow her neighbor's yard. A dog walker earns $10.00 for walking one dog plus $9.50 for each hour that she walks the dog. A painter earns $45.00 an hour to paint the inside of a home. The cost to take a private tennis lesson is $40.00 for one hour or $75.00 for two hours. The cost to rent a boat for 3 hours is $54.00 and the cost to rent a boat for the day is $70.00.
Estimate the slope of the line from its graph. y 7 6 5- 3 2 0 1 2 3 X 5 6 7
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?
Find the slope of the line represented by the data below. X -3 -2 -1 1 У 12 8 4 -4 Simplify completely. Slope = [?] Help
identify the slope and y-intercept. 9. A company spends $100 per day on fixed expenses such as electricity, rent, and the like. It also spends $35 per day on each employee working that day. Write an equation that relates the daily cost, C, to the number of employees working on any particular day, x. If 8 employees work on a particular day, what is the company's daily cost? Page 5 Ne
L5Q7.What is the slope of the line of best fit y = -7 + 8x? A.7 B.8 C.-7 D.-8
11. When babysitting Nicole charges a flat fee of $12, plus $5 per hour. Write an equation for the cost, y, after x hours of babysitting. Then use the equation to calculate how much she would make after 6 hou babysitting. Show ALL your work. B U Font Family - AA- A O F.E- E
Please show all steps for a, b, c and d, with steps on how to do it on excel

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