Concept explainers
(a)
To calculate: To write an equation that represent the total cost
(a)
Answer to Problem 32PPS
Equation to represent total cost for Wild waves park is
Explanation of Solution
Given information: The table showing the bus prices to travel to each park and the admission price per student
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Formula Used:
Equation of line passing through two points
Calculation:
Given the table
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Let the number of students be
Equation to represent the total cost
Equation to represent the total cost
Conclusion:
Hence, the equation to represent total cost for Wild waves park is
(b)
To calculate: To graph the two equations on the same coordinate plane
(b)
Answer to Problem 32PPS
Graph is plotted
Explanation of Solution
Given information: The table showing the bus prices to travel to each park and the admission price per student
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Formula Used:
Equation of line passing through two points
Calculation:
Given the table
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Let the number of students be
Equation to represent the total cost
Solving the above equation:
When
When
Points satisfying the equation are
Equation to represent the total cost
Solving the above equation:
When
When
Points satisfying the equation are
Plotting both the equation on same coordinate plane,
Conclusion:
Hence, the graph is plotted.
(c)
To calculate: To find which trip will cost less if
(c)
Answer to Problem 32PPS
When
Explanation of Solution
Given information: The table showing the bus prices to travel to each park and the admission price per student
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Formula Used:
Equation of line passing through two points
Calculation:
Given the table
Park | Bus Fee($) | Admission Price per student ($) |
Wild Waves | 200 | 16.50 |
Coaster Heaven | 250 | 14.50 |
Let the number of students be
Equation to represent the total cost
Equation to represent the total cost
When
Case1: Trip to Wild Waves
Cost is calculated as
Case1: Trip to Coaster Heaven
Cost is calculated as
Thus, when
When
Case1: Trip to Wild Waves
Cost is calculated as
Case1: Trip to Coaster Heaven
Cost is calculated as
Thus, when
Conclusion:
Hence, when
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Pre-Algebra, Student Edition
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