Concept explainers
(a)
Write an equation that represents the number of admissions that may have been sold
(a)
Answer to Problem 50PPS
Equation:
Explanation of Solution
Given:
An amusement park charges $50 for admission before 6 PM and $20 for admission after 6 PM . On Saturday, the park took in a total of $20,000.
Concept Used:
Write an equation that represents the number of admissions that may have been sold.
Let x represent the admissions sold before 6 PM.Park charges $50 for admission before 6 PM
Let y represent the admissions sold after 6 PM. Park charges $20 for admission after 6 PM.
Calculation:
Equation:
Thus, the equation:
(b)
Graph the equation
(b)
Answer to Problem 50PPS
Explanation of Solution
Given:
An amusement park charges $50 for admission before 6 PM and $20 for admission after 6 PM . On Saturday, the park took in a total of $20,000.
Graph the equation
Concept Used:
On Saturday, the park took in a total of $20,000.
Let x represent the admissions sold before 6 PM.Park charges $50 for admission before 6 PM
Let y represent the admissions sold after 6 PM. Park charges $20 for admission after 6 PM.
Calculation:
Equation:
Reduce into simplest form:
Table | Graph of the equation: |
x 5x+2y=2000 y (x,y) 0 |
(c)
Find the x and y − intercepts of the graph. What does each intercept represent?
(c)
Answer to Problem 50PPS
x-Intercept is 400 and y − intercept is 1000.
Explanation of Solution
Given:
An amusement park charges $50 for admission before 6 PM and $20 for admission after 6 PM . On Saturday, the park took in a total of $20,000.
Concept Used:
x – Intercept means where the lines crosses the x – axis. In this graph at 400, the line crosses the x – axis where y = 0 This means the number of admission before 6 PM is 400 alone if there is no admission after 6 PM y – Intercept means where the lines crosses the y – axis In this graph at 1000, the line crosses the y – axiswhere x = 0 This means the number of admission after 6 PM is 1000 alone if there is no admission before 6 PM. |
Find the x and y – intercepts of the graph. What does each intercept represent?
Calculation:
X −intercept is 400 and the y − intercept if 1000.
In this graph at 400, the line crosses the x − axis where y = 0
X -intercept is 400, means the number of admission before 6 PM is 400 alone if there is no admission after 6 PM
Y − intercept is 1000, this means the number of admission after 6 PM is 1000 alone if there is no admission before 6 PM.
Thus, x − intercept is 400 and y − intercept is 1000.
Chapter 3 Solutions
Algebra 1
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