a car with 12 gallons of gasoline drives 321 miles until the tank is empty.

write a linear equation that describes the amount of gas left in the car,y,after driving x miles

(type the answer in slope intercept form)
use integers or simplified fractions for any number I the expression

Respuesta :

Answer:

[tex]y = - \frac{4x}{107} + 12[/tex]

Step-by-step explanation:

You start with 12 gallons, and for every mile that you drive, you will deplete [tex]\frac{1}{321}[/tex] of your total amount of gas, or [tex]\frac{12}{321} = \frac{4}{107}[/tex] gallons of gas for every mile you drive. Thus, for every x miles you drive, you'll deplete [tex]\frac{4x}{107}[/tex] miles. Subtract that from 12 to get your final answer.

[tex] \frac{12 \times x}{321} [/tex]

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