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

select the correct answer.\na 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.\n(t(h)=\frac{386 + 110h}{h})\nwhat is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.?\n○ a. - 64 tickets per hour\n○ b. - 21 tickets per hour\n○ c. - 110 tickets per hour\n○ d. - 39 tickets per hour

select the correct answer.\na 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.\n(t(h)=\frac{386 + 110h}{h})\nwhat is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.?\n○ a. - 64 tickets per hour\n○ b. - 21 tickets per hour\n○ c. - 110 tickets per hour\n○ d. - 39 tickets per hour

Answer

Explanation:

Step1: Determine the values of h

10:00 a.m. is 3 hours after 7:00 a.m., so $h_1 = 3$. 1:00 p.m. is 6 hours after 7:00 a.m., so $h_2=6$.

Step2: Calculate $T(h_1)$ and $T(h_2)$

$T(h_1)=\frac{386 + 110\times3}{3}=\frac{386+330}{3}=\frac{716}{3}\approx238.67$. $T(h_2)=\frac{386 + 110\times6}{6}=\frac{386 + 660}{6}=\frac{1046}{6}\approx174.33$.

Step3: Calculate the rate of change

The rate of change formula is $\frac{T(h_2)-T(h_1)}{h_2 - h_1}$. $\frac{174.33 - 238.67}{6 - 3}=\frac{- 64.34}{3}\approx - 21.45\approx - 21$.

Answer:

B. -21 tickets per hour