Answer:
Initiation fee:
$400
Monthly fee:
$10
Step-by-step explanation:
First, let's start by calculating the monthly fee.
Over a period of 5 months (5 -> 10 months), the member paid 50 dollars more. We can divide this number by 5 to find the monthly fee. The monthly fee is $10.
Now, we can find the initiation fee. After 5 months with the gym, the member had spent $450. As we already know, $50 is the price for 5 months, so the member paid $50 in monthly fees.
We subtract $50 from the total cost ($450) to find that the initiation fee is $400.
Now, we can write the equations for each statement.
Let m represent the monthly fee and i represent the initiation fee:
"At the end of 5 months, a member had paid a total of $450"
5m + i = 450
"At the end of 10 months, she had paid a total of $500.
You could use 2 equations for this statement:
10m + i = 500
OR, if you use the above facts to calculate the fact that there was a $50 increase from those five months, and exclude the initiation fee and the previous five months:
5m = 50
Hope this helps!
