ANSWER
260 miles
Step-by-step explanation
The equation that models the cost is
![y = 35 + 0.25x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fcewupeptbxqfqk9ughelntmlade61f3lq.png)
If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to
$100 to determine the maximum number of miles you could travel.
![35 + 0.25x = 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8a2p819548sals0i29hnf6cdijg07khk1b.png)
![0.25x = 100 - 35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9bsdxkioek1pn1d6m0gaaqr5pgzxxsu6rk.png)
![0.25x = 65](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ux179tbgeeah8qnf61u6j613m40wnf3vo3.png)
![x = (65)/(0.25)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ojjb0kcx2x94fgckfing0g4tb1a8wy7a3b.png)
![x = 260mi](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9tren30zxt5zlbft0x4qhggrg1csydbagv.png)
Therefore the maximum number of miles you can travel is 260 miles