Question

Roger restores vintage automobiles. The number of automobiles Roger has restored, f, after n number of years can be described by the equation f(n)=2+5n. What is the rate of change in this situation?

Answer 1

The change of rate of the situation is 5.

Explanation:

Given f(n) = 2 + 5n. The rate of change is still the same as the slope of the equation. We know that the equation of a line is given as:

f(x) = y = mx + c where m is the slope. In our given equation, f(n) = 2 + 5n = 5n + 2, we see that m = 5 which is our slope.

Therefore, the change of rate of the situation is 5.