Question

A tractor fuel tank has 29 gallons of diesel fuel and yes approximately 0.75 gallons of diesel every hour it is used. Which equation shows the linear relationship between x, the number of hours the tractor is used and y, the total gallons of fuel in the tractor A. Y=29x-0.75 B y=-0.75(x+29) C. Y=29-0.75x D. y=29 + 0.75x

Answer 1

y = 29 - 0.75x (option C)

Step-by-step explanation:

The initial amount of gallons of diesel fuel = 29 gallons

Rate of consumption of fuel = 0.75 gallons per hour

we write the above information in the form of a liear equation:

y = mx + c

m = rate of consumption of fuel = 0.75 gallons per hour

c = intial amout of diesel fuel = 29

SInce, we are using up the fuel, it means the initial amount will be reducing every hour.

Our rate of consumption will be negative.

The equation becomes:

y = - 0.75x + 29

y = 29 - 0.75x (option C)