
Concept explainers
a.
To complete the table which is provided in the question.
a.

Answer to Problem 51E
The complete table is obtained as:
DVDs | Cost (dollars) | Amount left (dollars) |
1 | ||
2 | ||
3 | ||
4 |
Explanation of Solution
Given information:
The total yearly rental budget is $200 and each rental cost is $4.
Calculation:
From, the table, it can be observed that in Cost (dollars) column, total rental cost is written which is a product of number of DVDs and rental cost of each DVD and Amount left (dollars) column is obtained by subtracting the cost of DVDs from $200.
Hence, the complete table is obtained as:
DVDs | Cost (dollars) | Amount left (dollars) |
1 | ||
2 | ||
3 | ||
4 |
b.
To write the variable expression for cost of r rentals.
b.

Answer to Problem 51E
The variable expression for cost of r rentals is obtained as:
Explanation of Solution
Given information:
The total yearly rental budget is $200 and each rental cost is $4.
Calculation:
From, the table, it can be observed that in Cost (dollars) column, total rental costC is written which is a product of number of DVDs, r and rental cost of each DVD that is $4.
Hence,
The variable expression for cost of r rentals is obtained as:
c.
To write the variable expression for amount of the budget left after r rentals.
c.

Answer to Problem 51E
The variable expression is obtained as:
Explanation of Solution
Given information:
The total yearly rental budget is $200 and each rental cost is $4.
Calculation:
From, the table, it can be observed that in Cost (dollars) column, Amount left (dollars) column is obtained by subtracting the total cost of DVDs, C from $200.
Total cost is obtained as:
Hence,
The variable expression is obtained as:
d.
Determine the number of DVD which can be rented before the $200 is spent.
d.

Answer to Problem 51E
The number of DVD which can be rented before the $200 is spent is 50.
Explanation of Solution
Given information:
The total yearly rental budget is $200 and each rental cost is $4.
Calculation:
Therefore,
The variable expression for cost of r rentals is obtained as:
Since,
So,
Hence,
The number of DVD which can be rented before the $200 is spent is 50.
Chapter 1 Solutions
ELEMENTARY+INTERMEDIATE ALGEBRA
Additional Math Textbook Solutions
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College Algebra with Modeling & Visualization (5th Edition)
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