Concept explainers
a.
To calculate:The equation for the total cost of the camp for n number of tutoring sessions.
a.
Answer to Problem 58PFA
The equation for the total cost of the camp for n number of tutoring sessions is
Explanation of Solution
Given information:Cost to attend the summer camp is $250.Cost for tutoring sessions is given below.
Number of tutoring sessions | 5 | 10 | 15 |
Total cost (including cost to attend the camp) | $400 | $550 | $700 |
From the table, it can be observed that total cost follows an arithmetic progression.
Where the initial value
Hence the A.P. for the total cost c for purchasing n tutoring sessions can be written as
The equation for the total cost of the camp for n number of tutoring sessions is
b.
To calculate: The total cost if a student gets 20 tutoring sessions.
b.
Answer to Problem 58PFA
The total cost if a student gets 20 tutoring sessions is
Explanation of Solution
Given information: Cost to attend the summer camp is $250.Cost for tutoring sessions is given below.
Number of tutoring sessions | 5 | 10 | 15 |
Total cost (including cost to attend the camp) | $400 | $550 | $700 |
Calculation:
By using the results of the part a, the equation for the total cost of the camp for n number of tutoring sessions is
Hence the total cost if a student gets 20 tutoring sessions is
c.
To define:The meaning of slope of the line.
c.
Explanation of Solution
The slope of a line is a characteristic of the line that describes both the direction and the steepness of the line.
Slope is calculated by getting the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
d.
To calculate: The total number of tutoring sessions a person gets if he spent $1450 (including the cost of summer camp).
d.
Answer to Problem 58PFA
The total number of tutoring sessions a person gets if he spent $1450 is
Explanation of Solution
Given information: Cost to attend the summer camp is $250.Cost for tutoring sessions is given below.
Number of tutoring sessions | 5 | 10 | 15 |
Total cost (including cost to attend the camp) | $400 | $550 | $700 |
Calculation:
By using the results of the part a, the equation for the total cost of the camp for n number of tutoring sessions is
Hence the total number of tutoring sessions a person gets if he spent $1450 is
Chapter 4 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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