A car rental agency charges $75 per week plus $0.25 per mile to rent a car.
a. Write an equation that expresses the weekly cost to rent the car, in terms of the number of miles driven during the week, x.
b. How many miles did you drive during the week if the weekly cost to rent the car was $100?
a. y =
(Use integers or decimals for any numbers in the expression.)

The linear equation is the equation where there is only one unknown quantity i.e. variable and the highest power of the variable used in the equation is 1.

How to solve the linear equation of one variable?

Step-1: add/subtract the same constant term on both sides of the equation to separate the variable and constant term on both sides

Step-2: divide the coefficient of the variable on both sides to make the coefficient of the variable 1.

So according to the question,

car agency charges $75 per week.

agency charges $0.25 per mile for the rent of the car.

Let's assume x is the number of miles driven during the week.

charge per unit mile= $0.25

charge per x miles=$0.25x

total charges at the end of the week for rent= $0.25x+$75

The equation for charges will be y=0.25x+75

Then according to the question,

the rent of the car at the end of the week was = $100

so, y=$100

⇒0.25x+75=100

⇒0.25x+75-75=100-75 subtract 75 on both of the sides

⇒0.25x=25

⇒0.25x/0.25=25/0.25 divide 0.25 on both of the sides

⇒x=100

Therefore,

y=0.25x+75
100 miles have to be driven if the weekly cost is $100.

Learn more about the linear equation of one variable

here: brainly.com/question/1640242

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