Lauren is looking to rent a car. If she goes to Mo's Rent-A-Car, she will pay $33.00 to rent it plus $.25 every mile she drives. If she goes to CAR-nival Rentals, she will pay $10.00 to rent it plus $1.00 each mile she drives. How many miles, x, will she need to drive for both rentals to cost the same amount, y?

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,...
icon
Related questions
Question

Lauren is looking to rent a car. If she goes to Mo’s Rent-A-Car, she will pay $33.00 to rent it plus $.25 every mile she drives. If she goes to CAR-nival Rentals, she will pay $10.00 to rent it plus $1.00 each mile she drives. How many miles, x, will she need to drive for both rentals to cost the same amount, y?

Lauren is looking to rent a car. If she goes to Mo's Rent-A-Car, she will pay $33.00 to rent it plus $.25 every mile she drives. If she goes to
CAR-nival Rentals, she will pay $10.00 to rent it plus $1.00 each mile she drives. How many miles, x, will she need to drive for both rentals
to cost the same amount, y?
STEP 1: What represents the independent variable (x)?¦
What represents the dependent variable (y)?!
STEP 2: Write the equation for Mo's Rent-A-Car.
Write the equation for CAR-nival Rentals.
STEP 3: Graph them both in Desmos.
Where do the two lines intersect?¦
STEP 4: How many miles will she need to drive for them to cost the same amount?
:: y=33+.25x :: total cost :: y=10+.25x :: y=10+1x :: y=33+x
:: miles driven :: (30.667,40.667)
:: (30, 25) :: About 30 Miles :: About 40 Miles
:: (10,30)
Transcribed Image Text:Lauren is looking to rent a car. If she goes to Mo's Rent-A-Car, she will pay $33.00 to rent it plus $.25 every mile she drives. If she goes to CAR-nival Rentals, she will pay $10.00 to rent it plus $1.00 each mile she drives. How many miles, x, will she need to drive for both rentals to cost the same amount, y? STEP 1: What represents the independent variable (x)?¦ What represents the dependent variable (y)?! STEP 2: Write the equation for Mo's Rent-A-Car. Write the equation for CAR-nival Rentals. STEP 3: Graph them both in Desmos. Where do the two lines intersect?¦ STEP 4: How many miles will she need to drive for them to cost the same amount? :: y=33+.25x :: total cost :: y=10+.25x :: y=10+1x :: y=33+x :: miles driven :: (30.667,40.667) :: (30, 25) :: About 30 Miles :: About 40 Miles :: (10,30)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education