Question

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown. 110, 130, 150, 170, ...Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?

a f(n + 1) = f(n) + 20
b f(n + 1) = f(n) + 110
c f(n + 1) = f(n + 1) + 20
d f(n + 1) = f(n + 1) + 110

Answer 1

a. f(n+1) = f(n) + 20

Explanation:

Answer 2

a. f(n+1) = f(n) + 20

Explanation:

The second hour, f(2) = 130 is the wage of the first hour f(1) = 110, plus 20.

_____

You have to look at the answers and understand what they mean. (This can be difficult when they are nonsense, as here.)

b — means each successive hour of pay is 110 more than the previous one. Clearly that is not the case for the sequence given

c — equates 0 to 20, total nonsense

d — equates 0 to 110, also total nonsense