Brian wants to purchase a car wash package from his local car wash. Package A is an unlimited number of car washes for a month, and it costs $35 with no additional charges. Package B is $22 for the month plus $1.50 per car wash. Brian wants to know how many car washes he would need to get in a month to make Package A the better deal. Which equation and calculation would help him make this decision?
Brian wants to purchase a car wash package from his local car wash. Package A is an unlimited number of car washes for a month, and it costs $35 with no additional charges. Package B is $22 for the month plus $1.50 per car wash. Brian wants to know how many car washes he would need to get in a month to make Package A the better deal. Which equation and calculation would help him make this decision?
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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
Transcribed Image Text:Brian wants to purchase a car wash package from his local car wash. Package A is an unlimited number of car washes for a month, and
it costs $35 with no additional charges. Package B is $22 for the month plus $1.50 per car wash. Brian wants to know how many car
washes he would need to get in a month to make Package A the better deal.
Which equation and calculation would help him make this decision?
y=1.5z + 22
O Substitute 35 for z: y=1.5(35) + 22
I= 74.5, which means Package B is cheaper unless Brian gets at least 75 car washes.
y=22x + 1.5
O Substitute 35 for z: y= 22(35) + 1.5
y = 771.5, which means it would take 772 car washes for the plans to be worth the same amount
y=1.5z + 22
Substitute 35 for y: 35 = 1.5T + 22
Y 8.7, which means at 9 car washes, Package A at $35 would be cheaper.
y=22x + 1.5
O Substitute 35 for y. 35 = 22x + 1.5
ys 1.5, which means at 2 car washes, Package A at $35 would be cheaper.
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