Answer:
![9.5\ gal](https://img.qammunity.org/2020/formulas/mathematics/high-school/fk4u18y4my5kr0wbeq771mtsop1uj40p6w.png)
Explanation:
Let
y -----> the number of miles
x ----> the number of gallons of gas
we have
![y=-40x+380](https://img.qammunity.org/2020/formulas/mathematics/high-school/iqvpsc0hef5bftnt7trinsoegq9cial5ly.png)
Find out the x-intercept
The x-intercept is the number of gallons that the car's tank hold
The x-intercept is the value of x when the value of y is equal to zero
For y=0
![0=-40x+380](https://img.qammunity.org/2020/formulas/mathematics/high-school/abbgmdlt6b0opadfnmrca6bjw3p4sl2oy3.png)
![40x=380](https://img.qammunity.org/2020/formulas/mathematics/high-school/hnp8p9dzue1yhq0ae6spa2lzbu5yypuzcl.png)
![x=380/40](https://img.qammunity.org/2020/formulas/mathematics/high-school/kflcvi6djsh6drx0emx93de6k6ri352a66.png)
![x=9.5\ gal](https://img.qammunity.org/2020/formulas/mathematics/high-school/yylosxn5pnxdr6b8k0txjjga86yjs4ccbz.png)