garrett5728 garrett5728

06-12-2022
Mathematics

Answered

car rental company a charges an $80 service fee plus $22 per day. car rental company b does not have a service fee and charges $32 per day. which equation will help determine how many days it will take for the average charge per day for company a to be the same as the average charge per day for company b?

Answer :

QWTiffany QWTiffany

09-12-2022

It will take 8 days for the average charge per day for company a to be the same as the average charge per day for company b.

The charges incurred by these companies are given by the word expression -

Total charge = Service fee + Fee per day. Equating the expressions by keeping values of both companies. Let us represent each day by z.

80 + 22x = 0 + 32x

Rewriting the equation

32x - 22x = 80

Performing subtraction on Left Hand Side of the equation

10x = 80

Shifting 10 to Right Hand Side of the equation

x = 80/10

Performing division on Right Hand Side of the equation x = 8

On eight days, the charge will be equal.

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