
a.
To write an inequality to represent the given situation.
a.

Answer to Problem 60PFA
Explanation of Solution
Given:
An online music club allows him to download 25 songs per month for $14.99. additional songs cost $1.29 each.
Calculation:
Let t be his monthly spending limit and m represents the total number of songs downloaded.
Given that he can download 25 songs per month for $14.99. So, if he would by at a rate of $1.29 each, it will cost
So, he will have an additional of 17.26 if he download at the rate of #1.29 each.
If he will download additional songs beyond limit then the inequality that represent the situation would be
Thus, the inequalities for the given situation is
b.
The statement that best describe the number of songs can download.
b.

Answer to Problem 60PFA
C.
Jed can download a maximum of 36 songs if his budget is $30.
Explanation of Solution
Given:
An online music club allows him to download 25 songs per month for $14.99. additional songs cost $1.29 each.
Calculation:
Let t be his monthly spending limit and m represents the total number of songs downloaded.
Given that he can download 25 songs per month for $14.99. So, if he would by at a rate of $1.29 each, it will cost
So, he will have an additional of 17.26 if he buy at the rate of #1.29 each.
If he will download additional songs beyond limit then the inequality that represent the situation would be
Thus, the inequalities for the given situation is
If he downloads 37 songs with monthly limit of $30, it gives
If he downloads 45 songs with monthly limit of $40, it gives
If he downloads 36 songs with monthly limit of $30, it gives
And if he downloads 36 songs with monthly limit of $40, it gives
But in this case he can still download more songs with this budget.
Thus, the statement that Jed can download a maximum of 36 songs if his budget is $30.
c.
How the inequality changes if the music club changes its plan so that 50 songs can be downloaded a month.
c.

Answer to Problem 60PFA
D.
The constant will increase
Explanation of Solution
Given:
An online music club allows him to download 50 songs per month for $14.99. additional songs cost $1.29 each.
Calculation:
Let t be his monthly spending limit and m represents the total number of songs downloaded.
Given that he can download 50 songs per month for $14.99. So, if he would by at a rate of $1.29 each, it will cost
So, it will change the constant in the inequality. The constant will increase.
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