1. **Maria has recently purchased a new makeup subscription service and needs to budget this cost into her monthly expenses. Maria knows that she is charged $3 per item she chooses to purchase from the site but realizes that for 5 items she was charged $25. Maria knows that there is a base fee she pays in order to hold the subscription but is unsure of how much that is.** a. Write an equation in point slope form that could model the cost of the subscription. b. Rewrite the equation in slope intercept form. c. What is the monthly cost of the subscription service?

1. **Maria has recently purchased a newmake-up subscription service and needs to budget this cost into her monthly expenses. Maria knows that she is charged $3 per item she chooses to purchase from the site but realizes that for 5 items she was charged $25. Maria knows that there a base fee she pays in order to hold the subscription but is unsure of how much that is. a. Write an equation in point slope form that could model the cost of the subscription. b. Rewrite the equation in slope intercept form. C. What is the monthly cost of the subscription service?

1. **Maria has recently purchased a newmake-up subscription service and needs to budget this cost into her monthly expenses. Maria knows that she is charged $3 per item she chooses to purchase from the site but realizes that for 5 items she was charged $25. Maria knows that there a base fee she pays in order to hold the subscription but is unsure of how much that is. a. Write an equation in point slope form that could model the cost of the subscription. b. Rewrite the equation in slope intercept form. C. What is the monthly cost of the subscription service?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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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?
The rate at which a professional tennis player used carbohydrates during a strenuous workout was found to be 1.6 grams per minute. If a line were graphed showing time (in minutes) on the horizontal axis and carbohydrates used (in grams) on the vertical axis, what would be the slope of the line? many carbohydrates (in grams) would the athlete use in 40 minutes? grams
What's the answer
2. **Carolina is mowing lawns for a summer job in order to save for a new bike. Carolina charges both a service fee and an hourly rate for her lawn mowing service. Her total fee for a 4-hour job, for instance, is $32 and her fee for a 7 hour job is $50. a. Write an equation in point slope form that could model the relationship between the cost of Carolina's fee y, given the number of hours she works x. b. Write an equation in slope intercept form that could model this relationship. C. Carolina believes that the domain of hours she works could be described by whole numbers, do you agree or disagree?
In 1960, there were 242,900 immigrants admitted to a country. In 2005, the number was 1,011,507. a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900. b. Use your result in part a to predict the number of immigrants admitted to the country in 2013. c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century. a. A linear equation for the number of immigrants is y=. (Type your answer in slope-intercept form. Type an expression using t as the variable. Use integers or decimals for any numbers in the equation. Type an integer or decimal rounded to two decimal places as needed.)
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.…
I am saving money in a cookie jar. The amount of money M, in dollars, in the jar after w weeks is given by M=11.00w+33.00. In your response answer the following: identify the slope and then explain in practical terms what it means.
A house cost $200,000. Five years later, that same house sold for $250,000. If there was linear growth, the slope of this line would (numerically) be 10,000. Explain what this means. Which of these shows the equation of this line. Use y for the value of the house and x for the number of years. y = -10,000x + 200,000 y = 250,000x - 10,000 y = 10,000x + 200,000 O y = 200,000x - 10,000 y = 200,000x + 10,000 O y = 250,000x + 10,000 y = 10,000x + 250,000 O y = -10,000x + 250,000
9. Emi is a college student who has saved up some money and plans to go traveling until her money runs out.The equation D = −450t + 5400 represents the number of dollars, D, Emi has remaining after travelingfor t weeks. Answer the following questions. Be specific in your answers and include units ($, weeks, etc)in your explanations. a. How much money does Emi still have remaining 3 weeks into her trip? b. What is the slope of the line? Write a sentence explaining the meaning of the slope for Emi’s trip. c. What is the D-intercept? Write a sentence explaining the meaning of the D-intercept for Emi’s trip. d. What is the t-intercept? Write a sentence explaining the meaning of the t-intercept for Emi’s trip.
At Hanna's hair salon, a full-time starting stylist gets paid a base amount of pay per week, then $10 per haircut. Vanessa recently started working at the salon. In the first week, Vanessa saw 16 clients and took home $635 (not including any tips). Vanessa wants to represent pay by writing a linear equation and is deciding between writing it in slope-intercept form or using the point-slope formula. a) If Vanessa just wants to use the equation to most efficiently figure out how many clients will need to see to make a $1,000 in a week, which one should choose? Explain. b) If Vanessa wants to use the equation to understand how payment works, which one should choose? Explain.