Question

The scatter plot shows the relationship between the amount of gasoline g, in gallons in a fuel tank and the distance traveled d, in miles, after filling the tank. The equation of a trend line is g=-3d+16. How much gas is in the car's fuel tank when it is full? g 20 16 12 Amount of gasoline (gallons) d 40 80 120 160 Distance traveled (miles) A 10 gallons 16 gallons С 30 gallons B D 15 gallons AC 1% 10:59 PM 1/8/2021

Answer 1

As per given trend line equation:

$g=\frac{-1}{30}d+16$

The amount of gas in car's fuel tank when it is full means the distance covered is zero.

So put d=0 in the given trend line equation:

$\begin{gathered} g=\frac{-1}{30}d+16 \\ g=\frac{-1}{30}(0)+16 \\ g=0+16 \\ g=16 \end{gathered}$

So there is 16 gallons of gas in fuel tank.