Final answer:
The correct statement about the equation c = 1.5t + 5, which represents the total cost for admission to an amusement park with t ride tickets, is that the total cost depends on the number of ride tickets, and the cost for 6 tickets is $14.00.
Step-by-step explanation:
The correct equation to represent the total cost, c, for admission with a certain number of ride tickets, t, is c = 1.5t + 5. Given this, let's evaluate the statements:
- A. The variable t is the dependent variable: This statement is false. In the context of this equation, t is the independent variable since it represents the number of ride tickets, and the total cost c depends on it.
- B. The total cost for admission with 5 tickets is $7.50: This statement is false. To find the total cost for 5 tickets, we plug in t = 5 into the correct equation: c = 1.5(5) + 5, which equals $12.50, not $7.50.
- C. The total cost for admission with 6 ride tickets is $14.00: This statement is true. Plugging t = 6 into the equation gives us: c = 1.5(6) + 5, which equals $14.00.
- D. The total cost, c, depends on the number of ride tickets, t: This statement is true. The equation shows that c is calculated based on the number of tickets t purchased.
Therefore, the correct statements are C and D.