Question

Question 24 (1 point)

Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write a recursive

rule that represents the amount of money she has on her gas card after the first week.

Answer 1

Answer:

$A_{(x)}$ = 150 - 25x

Step-by-step explanation:

Let Leanne uses gas for x weeks.

Since expenditure on gas for one week = $25.00

Therefore, Leanne will spend on gas for x weeks = $25x

It is given in the question that she has total amount = $150.00

So the amount Leanne is left with after x weeks = 150 - 25x

If we represent amount left, by $A_{(x)}$

so the recursive formula will be

$A_{(x)}$ = 150 - 25x

Now for x = 1 week

$A_{(1)}$ = 150 - 25 = $125

Therefore, Leanne will have $125 in her gas card after the first week.