Answer:
15 weeks
Step-by-step explanation:
One is given the following information:
<u>Jeremy</u>
- Starts with $120
- Adds $14 every week to his account
<u>Katie</u>
- Stars with $180
- Adds $10 every week to her account
Let the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:
y = S + Ax
Substitute the given information into the equation for each person:
Jeremy: y = 120 + 14x
Katie: y = 180 + 10x
One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:
y = 120 + 14x = 180 + 10x
Inverse operations,
120 + 14x = 180 + 10x
4x = 60
x = 15
15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.
