Answer: Refer to Below
Step-by-step explanation:
<h2><u>PART 1: Write an expression to model the total cost</u></h2>
<u>Given information</u>
Php 2,000 activation fee
Php 1,500 monthly fee
<u>Analysis of given information</u>
Activation fee: the amount of money to start a charge (i.e. Let's say if there is a membership, then this fee would be the same as having a card of membership)
Monthly fee: the amount of money that would be charged monthly (i.e. Let's say if there is a membership, then this fee would be the amount of money that you would need to pay for maintenance every month)
<u>Set variable according to the given information</u>
Let x be the number of months for the membership
<u>Write expression with the given information and the variable</u>
Cost = Monthly fee × Number of months + Activation fee
![\boxed{C = 1500x + 2000}](https://tex.z-dn.net/?f=%5Cboxed%7BC%20%3D%201500x%20%2B%202000%7D)
<h2><u>PART 2: Evaluate the expression for 1 to 6 months of membership</u></h2>
**Information** Since we have already written the expression in [PART 1] and defined the number of months as [x], we are going to substitute the given number of months into the expression.
<u>Given information</u>
Number of months = 1, 2, 3, 4, 5, 6
<u>Written expression from [PART 1]</u>
C = 1500x + 2000
<u>Substitute values into the expression</u>
1 month = 1500 (1) + 2000 = ![\boxed{Php 3500}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%203500%7D)
2 months = 1500 (2) + 2000 = ![\boxed{Php 5000}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%205000%7D)
3 months = 1500 (3) + 2000 = ![\boxed{Php 6500}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%206500%7D)
4 months = 1500 (4) + 2000 = ![\boxed{Php 8000}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%208000%7D)
5 months = 1500 (5) + 2000 = ![\boxed{Php 9500}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%209500%7D)
6 months = 1500 (6) + 2000 = ![\boxed{Php 11000}](https://tex.z-dn.net/?f=%5Cboxed%7BPhp%2011000%7D)
Hope this helps!! :)
Please let me know if you have any questions