Question

Exercise 6: The daily cost of renting a car is $30 plus $0.60 per miles traveled. If Cathy paid$140.00 for a day's rental, how many miles did she travel?

Answer 1

hello

to solve this question, we need to write out an equation to represent the cost of renting a car daily

`\begin{gathered} y=30+0.6x \\ x=\text{ number of miles travelled } \end{gathered}`

now let's write out our equation for this question

`140=30+0.6x`

let's solve for x

collect like terms

`\begin{gathered} 140=30+0.6x \\ 140-30=0.6x \\ 110=0.6x \\ \text{divide both sides by 0.6} \\ (110)/(0.6)=(0.6x)/(0.6) \\ x=183.33 \end{gathered}`

from the calculation above, Cathy drove 183.33miles that day