Concept explainers
(a)
To find: The number of visits it would take for the total cost to be the same for a member and a nonmember, if they both use the water park at each visit.
(a)
Answer to Problem 51PPS
The number of visits it would take for the total cost to be the same for a member and a nonmember, if they both use the water park at each visit is
Explanation of Solution
Given information:
An Amusement park details:
Line 1: Yearly membership charge
Line 2: And additional charge for use Water Park
Line 3: Nonmember pays
Calculation:
The equation to find the number of visits it would take for the total cost to be the same for a member and a nonmember if they both use the water park at each visit is to be written and solved.
Consider the number of visits to the park be
The cost for
The cost for
Acc. To equation,
Therefore, the required equation to find the number of visits it would take for the total cost to be the same for member and a nonmember if they both use the water park at each visit is
Now solving the equation:
Therefore, the number of visits it would take for the total cost to be the same for a member and a nonmember, if they both use the water park at each visit is
(b)
To find: Design a table for the costs of members and nonmembers after
(b)
Answer to Problem 51PPS
The table for the costs of members and nonmembers after
visits to the park is :
Visits | Cost for Members | Cost for nonmembers |
3 | 290 | 90 |
6 | 305 | 180 |
9 | 320 | 270 |
12 | 225 | 360 |
15 | 350 | 450 |
Explanation of Solution
Given information:
An Amusement park details:
Line 1: Yearly membership charge
Line 2: And additional charge for use Water Park
Line 3: Nonmember pays
Calculation:
The table for the cost of members and nonmembers after
For 3 visits,
And,
For
And,
For
And,
For
And,
For
And,
Now, the table for the cost of members and nonmembers after
visits to the park is as follows:
Visits | Cost for Members | Cost for nonmembers |
3 | 290 | 90 |
6 | 305 | 180 |
9 | 320 | 270 |
12 | 225 | 360 |
15 | 350 | 450 |
Chapter 2 Solutions
Algebra 1
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
College Algebra with Modeling & Visualization (5th Edition)
Pre-Algebra Student Edition
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th Edition)
- Write a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forwardSolve x-1 x+2 = 12 3 4 Your Answer: Answerarrow_forward
- Find the solutions to the following equation 21x²+5x=6 ○ a) -3/7, 3/2 ☐ b) -2/3, 3/7 ○ c) -7/3, 3/2 ○ d) -2/3, 7/3arrow_forwardListen Solve the quadratic equation. Write the one solution, do not write x =. 2 x²+6x+9= 0 বarrow_forwardSolve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forward
- Solve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forwardA falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education