Knowee
Questions
Features
Study Tools

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+110⁢ℎℎWhat is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? A. -64 tickets per hour B. -110 tickets per hour C. -21 tickets per hour D. -39 tickets per hour

Question

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+110⁢ℎℎWhat is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? A. -64 tickets per hour B. -110 tickets per hour C. -21 tickets per hour D. -39 tickets per hour

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The rate of change in the number of tickets sold can be found by calculating the slope of the line between the two points on the graph of the function T(h) at h=3 (10:00 a.m.) and h=6 (1:00 p.m.).

First, we need to find the number of tickets sold at 10:00 a.m. and 1:00 p.m. by substituting h=3 and h=6 into the function T(h):

T(3) = 386 + 1103 = 716 tickets T(6) = 386 + 1106 = 1046 tickets

Then, we calculate the rate of change (slope) as follows:

Rate of change = (T(6) - T(3)) / (6 - 3) = (1046 - 716) / 3 = 110 tickets per hour

So, the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. is 110 tickets per hour. The correct answer is B. -110 tickets per hour.

This problem has been solved

Similar Questions

Select the correct answer from each drop-down menu.An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.Management uses the combined function P to model the daily earnings of the amusement part, where x is the number of $2 increases in the price of a ticket.𝑃⁡(𝑥)=-40⁢𝑥2−100⁢𝑥+27,500Use the given information to complete the sentences.The constant of the polynomial expression represents the in the price of a ticket.The binomial (500−20⁢𝑥) is a factor of the polynomial expression and represents the in the price of a ticket.

A group of friends wants to go to the amusement park. They have $86 to spend on parking and admission. Parking is $5, and tickets cost $13.50 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.

3. Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he doesnot go to park and it is managed by team of staff. The ticket charge for the park is Rs150 for children and Rs 400 for adults. One day Mr Agrawal decided to random checkthe park and went there. When he checked the cash counter, he found that 480 ticketswere sold and Rs 134500 was collected.(i) Let the number of children visited be x and the number of adults visited be y .Which of the following is the correct system of equation that model theproblem ?(ii) How many children attended?(iii) How many adults attended?(iv) How much amount collected if 300 children and 350 adults attended?(v) One day total attended children and adults together is 750 and the total amountcollected is Rs 212500. What are the number of children and adults attended ?

The total revenue from the sale of match tickets is given as 𝑅(𝑥) = 14𝑥 + 3𝑥 2 + 16. a. Find the total revenue function b. Find the marginal revenue function c. Find total revenue and marginal revenue at x= 80

Mandai Wildlife Reserve offers a 20% discount on all tickets on weekdays and 10% on weekends. Members are then given a further discount of $6 for every ticket bought. Mr Tan is a member and pays $192 for his family of 4 on a weekend. What is the price of each ticket on a weekend without any discount?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.