Question

The above graph has been plotted after the research conducted by a large number of researchers on the decline in gas mileage which a car gets as a function of the miles over the recommended one which the car travels at. This is represented by the equation: $-\frac{1}{200}x+35$. Based on the information, how many miles per gallon could be expected if this particular car is driven 3,400 miles over the recommended miles between servicing?

• A. $18$
• B. $9$
• C. $27$
• D. $36$

Answer 1

Answer: (A)

$18$

The given equation is $y=\frac{-1}{200}x+35$. Hence at $3400$ miles, we get $y=\frac{-3400}{200}+35=-17+35=18$. Hence the required answer is 18.