Question

Ricardo pays a 70 sign-up fee to join a fitness center and 30 for each month of his membership. The equation c = 30m + 70 gives the total cost for m months. Which statement correctly describes what happens when m increases?

1) The total cost decreases
2) The total cost increases
3) The total cost remains the same
4) The total cost cannot be determined

Answer 1

When the variable m in Ricardo's cost equation c = 30m + 70 increases, the total cost increases as well, since each month adds $30 to the total.

Step-by-step explanation:

When the number of months (m) increases in Ricardo's fitness center membership cost equation (c = 30m + 70), the total cost (c) also increases. This is because each additional month adds an extra $30 to the total cost.

The $70 sign-up fee is a fixed cost and remains the same regardless of how many months of membership Ricardo purchases. Therefore, as m increases, the correct statement is that the total cost increases.