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The equation y = −40x + 380 represents the number of miles y a hybrid car can still travel after using x gallons of gas. How many gallons of gas does the car's tank hold?

Respuesta :

calculista

Answer:

[tex]9.5\ gal[/tex]

Step-by-step explanation:

Let

y -----> the number of miles

x ----> the number of gallons of gas

we have

[tex]y=-40x+380[/tex]

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

[tex]0=-40x+380[/tex]

[tex]40x=380[/tex]

[tex]x=380/40[/tex]

[tex]x=9.5\ gal[/tex]

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