Concept explainers
(a)
To Calculate:
The cost of each CD for a member.
(a)
Answer to Problem 46PPS
Cost of each CD for a member = $5.25
Explanation of Solution
Given Information:
Let
y = Total cost in a year = $111.25
x = Number of CD purchased by a member in a year = 17
b = The membership cost per year = $22
Calculation:
First , we form the equation :
Let
y = Total cost in an year
x = Number of CD purchased by a member in an year
b = The membership cost per year
m = Cost of each CD
Now, we form the equation :
Cost of 1 CD = m
So, cost of x CD in an year = mx
The membership cost per year = b
So, the linear equation ( slope-intercept form) of the total cost y , when x CD purchased by a member in an year
Now , we find m by substituting the values in (1)
Hence, the cost of each CD per member = $5.25.
(b)
To Calculate:
A linear equation to represent the total cost y of a one year membership, if x CDs are purchased .
(b)
Answer to Problem 46PPS
The equation that represents the total cost of a 1-year membership is :
Where,
y = Total cost in an year
x = Number of CD purchased by a member in an year
Explanation of Solution
Given Information:
Let
y = Total cost in a year = $111.25
x = Number of CD purchased by a member in a year = 17
b = The membership cost per year = $22
Calculation:
Let
y = Total cost in an year
x = Number of CD purchased by a member in an year
b = The membership cost per year
m = Cost of each CD
Now, we form the equation :
Cost of 1 CD = m
So, cost of x CD in an year = mx
The membership cost per year = b
So, the linear equation ( slope-intercept form) of the total cost y , when x CD purchased by a member in an year
Substituting the values of m = 5.25 and b =22 in (1) , we get required equation:
Hence,
The equation that represents the total cost of a 1-year membership is :
Where,
y = Total cost in an year
x = Number of CD purchased by a member in an year
(c)
To Graph : The linear equation
(c)
Explanation of Solution
Given Information:
From part (a) and (b)
Equation of line :
And points on the line are (0,22) , (17,111.25)
Graph:
To graph the equation, plot the points (0,22) , (17,111.25) .
Now , draw a line to connect the points .
Chapter 4 Solutions
Algebra 1
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