Answer:
The equation is y = 125 + 0.1x
If the cost was $150, then the number of miles driven is 250.
Explanation:
For a week, the cost of renting a car is $125 plus 0.1 for every mile driven.
Therefore, if we call y the total cost and x the number of miles driven then the cost for x miles driven will be
[tex]y=125+0.1x[/tex]Now, if the weekly cost is $150, then y = 150; therefore,
[tex]150=125+0.1x[/tex]subtracting 125 from both sides gives
[tex]150-125=0.1x[/tex][tex]25=0.1x[/tex]Finally dividing both sides by 0.1 gives
[tex]\frac{25}{0.1}=x[/tex][tex]x=250.[/tex]Therefore, if the weekly rental cost is $150, then the number of miles driven is 250 miles.
