A car manufacture compiled data that indicated gas mileage decreased ad the number of miles driven between recommended servicing increased. The manufacture used the equation `y =- (1)/(200) x + 35` to model the data. Based on the information, how many miles per gallon could be expected if this particular car is drive 3,400 miles over the recommended miles between servicing ?

Answer

18

Explanation

Because the y-value of the graph when `x =3,400` is not shown, this question requires a mathemetical solution, extending the line of best fit will not provide an accurate enough answer. The equation of the model is giv en as `y =- (1)/(200)x + 35.` Miles over recommended servicing are graphed along the x-axis, so substitute 3,400 for x to find the answer:
`y=-(1)/(200) (3,400)+35=-17+35=18`
Gride in 18