Answer: Refer to Below
Step-by-step explanation:
PART 1: Write an expression to model the total cost
Given information
Php 2,000 activation fee
Php 1,500 monthly fee
Analysis of given information
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)
Set variable according to the given information
Let x be the number of months for the membership
Write expression with the given information and the variable
Cost = Monthly fee × Number of months + Activation fee
[tex]\boxed{C = 1500x + 2000}[/tex]
PART 2: Evaluate the expression for 1 to 6 months of membership
**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.
Given information
Number of months = 1, 2, 3, 4, 5, 6
Written expression from [PART 1]
C = 1500x + 2000
Substitute values into the expression
1 month = 1500 (1) + 2000 = [tex]\boxed{Php 3500}[/tex]
2 months = 1500 (2) + 2000 = [tex]\boxed{Php 5000}[/tex]
3 months = 1500 (3) + 2000 = [tex]\boxed{Php 6500}[/tex]
4 months = 1500 (4) + 2000 = [tex]\boxed{Php 8000}[/tex]
5 months = 1500 (5) + 2000 = [tex]\boxed{Php 9500}[/tex]
6 months = 1500 (6) + 2000 = [tex]\boxed{Php 11000}[/tex]
Hope this helps!! :)
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