select the correct answer. a new amusement park presold discounted tickets for the opening day as well as…

select the correct answer. a new amusement park presold discounted tickets for the opening day as well as upon arrival at the park. the opening - day ticket sales for the park, including presales, is represented by this function, where t(h) is the number of tickets sold h hours after opening at 7:00 a.m. t(h) = (386 + 110h)/h what is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? a. - 110 tickets per hour b. - 39 tickets per hour c. - 21 tickets per hour d. - 64 tickets per hour

select the correct answer. a new amusement park presold discounted tickets for the opening day as well as upon arrival at the park. the opening - day ticket sales for the park, including presales, is represented by this function, where t(h) is the number of tickets sold h hours after opening at 7:00 a.m. t(h) = (386 + 110h)/h what is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? a. - 110 tickets per hour b. - 39 tickets per hour c. - 21 tickets per hour d. - 64 tickets per hour

Answer

Explanation:

Step1: Determine the values of h

At 10:00 a.m., (h = 10 - 7=3). At 1:00 p.m., (h = 13 - 7 = 6).

Step2: Calculate (T(3))

[T(3)=\frac{386 + 110\times3}{3}=\frac{386+330}{3}=\frac{716}{3}\approx238.67]

Step3: Calculate (T(6))

[T(6)=\frac{386+110\times6}{6}=\frac{386 + 660}{6}=\frac{1046}{6}\approx174.33]

Step4: Calculate the rate of change

The rate of change formula is (\frac{T(6)-T(3)}{6 - 3}). [ \begin{align*} \frac{T(6)-T(3)}{6 - 3}&=\frac{\frac{1046}{6}-\frac{716}{3}}{3}\ &=\frac{\frac{1046-1432}{6}}{3}\ &=\frac{\frac{- 386}{6}}{3}\ &=\frac{-386}{18}\approx - 21.44\approx - 21 \end{align*} ]

Answer:

C. -21 tickets per hour