Concept explainers
(a)
To calculate: To write an equation to represent
(a)
Answer to Problem 27PPS
Equation to represent total cost for Lifetime Photos studio is
Explanation of Solution
Given information: The table showing the prices of sitting fees and each
Studio | Sitting Fee ($) | |
Lifetime Photos | 18 | 15 |
Family Photos | 12 | 15 |
Calculation:
Given the table
Studio | Sitting Fee ($) | |
Lifetime Photos | 18 | 15 |
Family Photos | 12 | 15 |
Let the number of portrait be
Equation to represent the total cost
Equation to represent the total cost
Conclusion:
Hence, the equation to represent total cost for Lifetime Photos studio is
(b)
To calculate: To graph the two equations on the same coordinate plane
(b)
Answer to Problem 27PPS
Graphs are plotted
Explanation of Solution
Given information: The table showing the prices of sitting fees and each
Studio | Sitting Fee ($) | |
Lifetime Photos | 18 | 15 |
Family Photos | 12 | 15 |
Calculation:
Given the table
Studio | Sitting Fee ($) | |
Lifetime Photos | 18 | 15 |
Family Photos | 12 | 15 |
Let the number of portrait 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 of both the equations are plotted.
(c)
To calculate: To find if the lines will intersect
(c)
Answer to Problem 27PPS
The lines of two equations will never intersect
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 |
Calculation:
Equation to represent the total cost
Slope of line,
Equation to represent the total cost
Slope of line,
Since
Thus, line are parallel
Conclusion:
Hence, the lines will never intersect.
(c)
To calculate: To compare the slope of the lines
(c)
Answer to Problem 27PPS
Slopes of both the lines are same.
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 |
Calculation:
Equation to represent the total cost
Slope of line,
Equation to represent the total cost
Slope of line,
Here,
Conclusion:
Hence, the slope of both the lines are same.
Chapter 8 Solutions
Pre-Algebra, Student Edition
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