Like the example i attached you have to solve all parts of highlighted question KA tennis club offers two payment options. Members can pay a monthly fee of $18 plus $5 per hour for court rentaltime. The second option has no monthly fee, but court time costs $6.50 per hour. Answer parts a through d.a. Write a linear function that models the total monthly costs for each option for x hours of court rental time.The linear function that models total monthly cost for the first payment option is f(x) = [(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.) A tennis club offers two payment options. Members can pay a monthly fee of $18 plus $8 per hour for courtrental time. The second option has no monthly fee, but court time costs $9.50 per hour. Answer parts athrough d.a. Write a linear function that models total monthly costs for each option for x hours of court rental time.Begin with the first payment option. The plan includes a monthly fee of $18 plus $8 per hour for court rentaltime. If the per-hour cost of the court rental time is $8, the rental cost of x hours is 8x.In addition, the member has to pay a monthly fee of $18.Thus, the linear function that models the total monthly cost of the first payment option is f(x) = 8x + 18.Now find the function for the monthly cost of the second option. Note that there is no monthly fee in thesecond option, but the court time costs $9.50 per hour.Thus, the linear function that models total monthly cost of the second payment option is g(x) = 9.5x.b. Use a graphing utility to graph the two functions in a [0, 15, 1] by [0, 120, 20] viewing rectangle.Graph f(x) = 8x + 18 and g(x) = 9.5x on the same graphing window.The correct graph of the functions is shown to the right.✓c. Use your utility's trace or intersection feature to determine where the two graphs intersect. Describe whatthe coordinates of this intersection point represent in practical terms.The two graphs intersect at the point (12,114).The first coordinate of the ordered pair represents the hours of court rental time and the second coordinaterepresents the cost of the plan.Thus, the coordinates of the point (12,114) indicate that for 12 hours of court rental time, the cost of bothplans is $114.Qd. Verify part c using an algebraic approach by setting the two functions equal to each other and determininghow many hours one has to rent the court so that the two plans result in identical monthly costs.Set the two functions f(x) = 8x + 18 and g(x) = 9.5x equal to get the equation in terms of x.9.5x = 8x +18Now solve this equation for x to get the number of hours of court rental so that the two plans result inidentical monthly costs.9.5x8x+189.5x8x8x + 18-8x1.5x = 18Divide both sides of the equation by 1.5.1.5x = 18x = 12Subtract 8x from both sides.Combine like terms.Simplify.Thus, one has to rent the court for 12 hours so that the two plans result in identical monthly costs. Thisverifies the result obtained in part c.

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A tennis club offers two payment options. Members can pay a monthly fee of $18 plus $5 per hour for court rental time. The second option has no monthly fee, but court time costs $6.50 per hour. Answer parts a through d. a. Write a linear function that models the total monthly costs for each option for x hours of court rental time. The linear function that models total monthly cost for the first payment option is f(x) = [ (Type an expression using x as the variable. Use integers or decimals for any pembers in the expression.)

A tennis club offers two payment options. Members can pay a monthly fee of $18 plus $5 per hour for court rental time. The second option has no monthly fee, but court time costs $6.50 per hour. Answer parts a through d. a. Write a linear function that models the total monthly costs for each option for x hours of court rental time. The linear function that models total monthly cost for the first payment option is f(x) = [ (Type an expression using x as the variable. Use integers or decimals for any pembers in the expression.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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