A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50 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 ) The linear function that models the total monthly cost for the second payment option is f(x) = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.) b. Use a graphing utility to graph the two functions in a [0, 15, 1] by [0, 120, 20] viewing rectangle Choose the correct graph below. O A. OB. OC. OD. c. Use your utility's trace or intersection feature to determine where the two graphs intersect Describe what the coordinates of this intersection point represent in practical terms The twn aranhs intersect at the noint
A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50 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 ) The linear function that models the total monthly cost for the second payment option is f(x) = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.) b. Use a graphing utility to graph the two functions in a [0, 15, 1] by [0, 120, 20] viewing rectangle Choose the correct graph below. O A. OB. OC. OD. c. Use your utility's trace or intersection feature to determine where the two graphs intersect Describe what the coordinates of this intersection point represent in practical terms The twn aranhs intersect at the noint
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50
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.)
The linear function that models the total monthly cost for the second payment option is f(x) =
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression)
b. Use a graphing utility to graph the two functions in a [0, 15, 1] by [0. 120, 20] viewing rectangle.
Choose the correct graph below.
OA.
O B.
C.
OD.
c. Use your utility's trace or intersection feature to determine where the two graphs intersect. Describe what the coordinates of this intersection point represent in practical terms.
The two granhs intersect at the noint
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Transcribed Image Text:A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50
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.)
The linear function that models the total monthly cost for the second payment option is f(x) =
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression)
b. Use a graphing utility to graph the two functions in a [0, 15, 1] by [0. 120, 20] viewing rectangle.
Choose the correct graph below.
OA.
O B.
C.
OD.
c. Use your utility's trace or intersection feature to determine where the two graphs intersect. Describe what the coordinates of this intersection point represent in practical terms.
The two granhs intersect at the noint
Submit Quiz
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![A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50
per hour. Answer parts a through d.
c. Use your utility's trace or intersection feature to determine where the two graphs intersect. Describe what the coordinates of this intersection point represent in practical terms.
The two graphs intersect at the point
(Type an ordered pair.)
Interpret the coordinates of the above intersection point. Select the correct choice below and fill in the answer box(es) to complete your choice
O A. For hour(s), the cost of both plans is S
(Type whole numbers)
O B. The cost of both plans will always be $
and it will not depend on the number of rented hours.
(Type a whole number)
OC. For
hour(s), the cost of both plans are different, The cost of the first plan is $
and the cost of the second plan is S
(Type whole numbers.)
d. Verify part (c) using an algebraic approach by setting the two functions equal to each other and determining how many hours one has to rent the court so that the two plans result in
identical monthly costs.
Thus, one has to rent the court for
hour(s) so that the two plans result in identical monthly costs.
(Type a whole number)
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ASSET TAG # 74257](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc64ec4d8-1da4-491c-ae8f-c2c036ddff3f%2F63d35cf3-d51b-425c-98f1-13339a8c01b1%2F4eacy8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A tennis club offers two payment options. Members can pay a monthly fee of $30 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50
per hour. Answer parts a through d.
c. Use your utility's trace or intersection feature to determine where the two graphs intersect. Describe what the coordinates of this intersection point represent in practical terms.
The two graphs intersect at the point
(Type an ordered pair.)
Interpret the coordinates of the above intersection point. Select the correct choice below and fill in the answer box(es) to complete your choice
O A. For hour(s), the cost of both plans is S
(Type whole numbers)
O B. The cost of both plans will always be $
and it will not depend on the number of rented hours.
(Type a whole number)
OC. For
hour(s), the cost of both plans are different, The cost of the first plan is $
and the cost of the second plan is S
(Type whole numbers.)
d. Verify part (c) using an algebraic approach by setting the two functions equal to each other and determining how many hours one has to rent the court so that the two plans result in
identical monthly costs.
Thus, one has to rent the court for
hour(s) so that the two plans result in identical monthly costs.
(Type a whole number)
Submit Quiz
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