Question

Victoria filled up her car with gas before embarking on a road trip across the country.
The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours,
there were 7 gallons of gas left in the tank. Write an equation for G, in terms of t,
representing the number of gallons of gas remaining in Victoria's gas tank after t
hours of driving.

Answer 1

Answer:

G = -1.75t + 14

Step-by-step explanation:

Find how many gallons she had originally:

Multiply 1.75 by 4 to find how much she used in 4 hours:

1.75(4)

= 7

Since she had 7 gallons left after 4 hours, she started off with 14 gallons.

Create an equation with the format y = mx + b

b (the y intercept) is 14 in this situation, since that is the starting value.

m (the slope) is -1.75, because the car uses 1.75 gallons each hour.

Put these into the equation:

y = -1.75x + 14

Use the variables G (number of gallons remaining) and t (hours)

G = -1.75t + 14 is the equation