Question

terry is joining the local gym. the initial membership fee is $100. members pay an additional $49.99 each month. which equation represents how much terry will pay any given number of months of membership?
a ( y = 49.99x + 100 )
b ( y = 100x + 49.99 )
c ( y = (100 + 49.99)x )
d ( y = 100 - 49.99x )
e ( y = (100 - 49.99)x )

Explanation:

Step1: Define Variables

Let \( x \) be the number of months, \( y \) be the total cost.

Step2: Analyze Costs

Initial fee: $100 (fixed). Monthly fee: $49.99 per month, so for \( x \) months, it's \( 49.99x \).

Step3: Formulate Equation

Total cost \( y \) = monthly cost + initial fee, so \( y = 49.99x + 100 \).

Answer:

A. \( y = 49.99x + 100 \)