Question

The average number of cars on a highway increased by 6% this year to 795 cars per day. What was the average number of cars on the highway per day a year ago?

Answers

A. 716 cars per day
B. 750 cars per day
C. 824 cars per day
D. 875 cars per day

Answer 1

Option B. 750 cars per day

Explanation:

Let

x -----> the average number of cars on the highway per day a year ago

`100\%+6\%=106\%=106/100=1.06`

we know that

The average number of cars on the highway per day a year ago multiplied by the factor 1.06 must be equal to the average number of cars this year

so

The linear equation that represent this situation is

`1.06x=795`

Solve for x

`x=795/1.06\\x=750\ cars\ per\ day`