Question

the cost of a renting a car is $55/wk plus $0.15/ mi traveled during that week . an equation to represent the cost would be y =55+ 0.15x, where x is the number of miles traveled. suppose you have a maximum of 100 to spend for the car rental . what would be the maximum number of miles you could travel

Answer 1

The maximum number of miles you could drive would be 300.
Multiply 0.15 by 300 and that adds up to $45. 45 + 55 = $100
An equation to explain this would be
y = 55 + 0.15x
y represents your $100 budget, 55 is the initial rental fee, and if you plug 300 in for x that solves your equation.

Answer 2

You can travel a maximum of 300 miles.

Explanation:

The equation to represent the cost would be
`y =55+0.15x`

where x is the number of miles traveled.

Now given that we can spend a maximum of $100, so we will find x by plugging y = 100

`100 =55+0.15x`

Solve for x;

`100-55=0.15x`

=>
`45=0.15x`

x = 300

Hence, you can travel a maximum of 300 miles.