a.
To write:
An equation describing the possible amounts of canned and dry food that you can feed your beagle each day.
a.
Answer to Problem 19E
Our required equation would be
Explanation of Solution
Given:
Your beagle is allowed to eat 800 calories of food each day. You buy canned food containing 40 calories per ounce and dry food containing 100 calories per ounce.
Calculation:
Let x represent ounces of canned food and y represent ounces of dry food.
We have been given that each ounce of canned food contains 40 calories, so calories in x ounces of canned food would be
We are also told that each ounce of dry food contains 100 calories, so calories in y ounces of dry food would be
Since your beagle is allowed to eat 800 calories each day, so the total calories consumed from eating x ounces of canned food and y pounds of dry food should be equal to 800.
We can represent this information in an equation as:
Therefore, our required equation would be
b.
To graph:
The equation from part (a) using the intercepts.
b.
Answer to Problem 19E
The graph of the equation
Explanation of Solution
Given:
Your beagle is allowed to eat 800 calories of food each day. You buy canned food containing 40 calories per ounce and dry food containing 100 calories per ounce.
Calculation:
To find x -intercept, we will substitute
To find y -intercept, we will substitute
Upon graphing our given equation, we will get our required graph as shown below:
c.
To give:
Three possible combinations of canned and dry food that you can feed your beagle.
c.
Answer to Problem 19E
Three possible combinations would be:
1. (5,6)
2. (10,4)
3. (15,2)
Explanation of Solution
Given:
Your beagle is allowed to eat 800 calories of food each day. You buy canned food containing 40 calories per ounce and dry food containing 100 calories per ounce.
Calculation:
To find some possible combinations, we will substitute some values of xin our given equation as shown below:
Therefore, the three possible combinations would be (5,6), (10,4) and (15,2).
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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