Please answer this question and I will give you brainliest

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!