Concept explainers
a.
To write:
An equation describing the possible number of movies and video games you can rent.
a.
Answer to Problem 14CST
The equation
Explanation of Solution
Given:
You have a $100 gift card to a store that rents movies and video games. The rental fee for a movie is $4 and the rental fee for a video game is $5.
Calculation:
Let x represent number of movies rented and y represent number of video games rented.
We have been given that the rental fee for a movie is $4, so rental fee for x movies would be
We are also told that the rental fee for a video game is $5, so rental fee for y video games would be
The total cost of renting x movies and y video games would be equal to $100. We can represent this information in an equation as:
Therefore, the equation
b.
To graph:
Equation from part (a) using the intercepts.
b.
Answer to Problem 14CST
The graph of equation
Explanation of Solution
Given:
You have a $100 gift card to a store that rents movies and video games. The rental fee for a movie is $4 and the rental fee for a video game is $5.
Calculation:
To find x-intercept, we will substitute
Therefore, the x-intercept of our given equation is
To find y-intercept, we will substitute
Therefore, the y-intercept of our given equation is
Upon graphing our given equation, we will get our required graph as shown below:
c.
To write:
Three possible combinations of movies and video games you can rent.
c.
Answer to Problem 14CST
Three possible combinations would be:
1. (5,16)
2. (10,12)
3. (15,8)
Explanation of Solution
Given:
You have a $100 gift card to a store that rents movies and video games. The rental fee for a movie is $4 and the rental fee for a video game is $5.
Calculation:
To find some possible combinations, we will substitute some values of x in our given equation as shown below:
Therefore, the three possible combinations would be (5,16), (10,12) and (15,8).
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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