Question

1. Jamal wants to join the tennis club; there is a $60 startup fee and a $10 monthly fee every month. Write an equation in slope-intercept form modeling this situation where C is the total cost and t is the number of months spent with the tennis club. a. C = 60t+10 d. t = 60C +10 A convo b. t = 60+10C c. C = 60+ 10t​

Answer 1

The equation in slope-intercept form that models the situation is:

C = 60t + 10

In this equation, C represents the total cost and t represents the number of months spent with the tennis club.

The startup fee of $60 is a one-time cost, so it is represented by the constant term in the equation (10). The monthly fee of $10 is multiplied by the number of months (t) to account for the ongoing cost.

To understand how this equation works, let's consider an example:

If Jamal has been with the tennis club for 3 months, we can substitute t = 3 into the equation:

C = 60(3) + 10

C = 180 + 10

C = 190

This means that after 3 months, the total cost (C) for Jamal would be $190.

Similarly, if we want to find the total cost after 6 months, we can substitute t = 6 into the equation:

C = 60(6) + 10

C = 360 + 10

C = 370

Therefore, after 6 months, the total cost (C) for Jamal would be $370.

In summary, the equation C = 60t + 10 models the situation where C represents the total cost and t represents the number of months spent with the tennis club. The equation allows us to calculate the total cost based on the number of months spent in the club.