help me please okay

Question

Enter a piecewise function for the situation. Then complete the table and select the correct graph.

 

A local golf course charges members $20 an hour for the first two hours, $25 an hour for the next three hours, and nothing for the last five hours, for a maximum of 10 hours.

 

Part 1 out of 3

Express the cost C (in dollars) as a function of the time t (in hours) that a member plays golf at this golf course.

C(t) = 20 t if ________

___ if _______

___ if 5<T<10

Answer 1

C(t) = 20 t if 0 <= t <= 2

The next 3 hours will be $25/hr for 2 <= t <= 5

As C(t) = 2 * 20 = 40 at t = 2, we use y = mx + b to find b.

Then, 40 = 25(2) + b

b = -10

For 2 <= t <= 5, we have -10 + 25t, 2 <= t <= 5

As, for t = 5, -10 + 5(25) = 115

C(t) = 115 5 <= t <= 10

C(t) = 20t 0 <= t <= 2

-10 + 25 t 2 <= t <= 5

115 5 <= t <= 10

Answer 2

C(t) = 20 t. if 0< t less than or equal to 2

C(t) = 25 t + 40 if 2< t less than or equal to 5

C(t) = 115. if 5 < t less than or equal to 10

open circles for less than

closed circle or dots for less than or equal to