Answer: The coffee company earned $0 in April.
Solution: This function is a parabola that opens upward, so the lowest value is at the vertex. To find the month, we find –b/2a = –8/–2 = 4. So, the vertex is at t = 4, which represents the month of April. To find how much they earned, we set t = 4 and solve: 42 – 8(4) + 16 = 16 – 32 + 16 = 0. So, they earned $0 in April.
Answer: 8:35 pm
Solution: The amount of time is takes for all of the groups to finish their skits is 8 × 5 = 40 minutes. Since they have to finish the show by 9:15 pm, we count back 40 minutes before 9:15 pm to 8:35 pm.
