Final answer:
To calculate the total cost of Ms. Vans's Zumba gym membership for one year, we use the equation C = 89 + 30n, where 'C' is the total cost and 'n' is the number of months. Substituting n with 12 (for one year), the total cost is $449.
Step-by-step explanation:
Mrs. Vans is planning to join a Zumba gym with a one-time registration fee and a monthly charge. To represent the total cost of being a member for one year, we can write an equation that includes the initial registration fee and the monthly charge multiplied by the number of months in a year.
The equation to represent the situation is:
C = 89 + 30n
where C represents the total cost of membership for n months, $89 is the one-time registration fee, and $30 is the monthly charge.
Since we want to calculate the cost for one year, we will substitute n with 12 (the number of months in a year). Therefore, the equation will be:
C = 89 + 30(12)
Simplifying this gives us:
C = 89 + 360
C = 449
The total cost for being a member for one year is $449.