Complete question is;
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?
Answer:
The recursive formula can be expressed as; f(x + 1) = f(x) + 20
Step-by-step explanation:
Electrician earns $110 dollars after working for 1 hour.
We were told his total pay based on number of hours worked can be represented by: 110, 130, 150, 170...
This means that writing it down as a function, we can say;
f(1) = $110, f(2) = $130 e.t.c
Now,since we want to express a recursive formula to explain the question, then let's say after the 1 hour worked, he earned $110, then the hour after that, his total is $130,then the hour after that, his total is $150.
This means that he earns an additional $20 each hour.
Thus;
f(x + 1) = f(x) + 20
Where x is number of hours and f(x) is payment after x number of hours
The recursive formula can be expressed as; f(x + 1) = f(x) + 20
