Question

I need help finding the answer to this. can you help me?

Answer 1

According to the linear model, a generator of approximately 215.79 kW size will consume 15 gallons of fuel per hour, considering the base fuel consumption and the rate of increase per unit in generator size.

To determine the generator size that will use 15 gallons of fuel per hour according to the linear model y = 1.04 + 0.0647x, we can set up the equation:

15 = 1.04 + 0.0647x

Solving for x (generator size), we get:

x = (15 - 1.04) / 0.0647

x ≈ 215.79 kW

Therefore, the generator size that will use approximately 15 gallons of fuel per hour is approximately 215.79 kW.

In the provided linear model, the intercept (1.04) represents the base fuel consumption, and the coefficient (0.0647) represents the rate at which fuel consumption increases per unit increase in generator size. By plugging in 15 for y, we find the corresponding generator size.

In conclusion, the generator size that will use 15 gallons of fuel per hour is approximately 215.79 kW based on the linear model.

Answer 2

We know the generator size x and the fuel consumption y are related by:

`y=1.04+0.0647x`

To determine which size generator will use 15 gallons of fuel per hour we plug y=15 in the equation above and solve for x:

`\begin{gathered} 15=1.04+0.0647x \\ 0.0647x=15-1.04 \\ x=(13.96)/(0.0647) \\ x=215.76 \end{gathered}`

Therefore, the generator size is approximately 215 kW