Write a linear function whose rate of change is 1/3 that satisfies f (3) = 5.

This a linear function y = mx + b, where m = slope (rate of change), then:

y = (1/3). x + b. Now we have to calculate b. We know tat f (3) = 5, that means if we replace x by 3, then y = 5:

5 = (1/3) (3) + b→ 5 = 1 + b and b = 5-1 = 4, then the final equation is

y = (1/3). x + 4