Concept explainers
a)
To find: The equation that represents the given situation and also to graph it. Also to find domain and range that are reasonable for the graph.
a)
Answer to Problem 40PPE
Linear equation representing the given situation is
Explanation of Solution
Given information: M needs total 24 g carbohydrates per ounce so that pineapple has 3g of carbohydrates per ounce and watermelon has 2g of carbohydrates per ounce.
Concept/Formula used: Set the equation using following statement of equality.
Calculation: Let total ounces of pineapple be x and of watermelon be y. So, required equation representing the situation is set using above formula as;
Two points in ordered pair form
x | ||
0 | ||
8 |
Plot these points in XY coordinate plane to get related graph as:
Conclusion: So, the equation to model given equation is set as
b)
To find: The domain and range, reasonable for the graph, represented by equation that represents the given situation.
b)
Answer to Problem 40PPE
Linear equation representing the given situation is
The domain is
Explanation of Solution
Given information: M needs total 24 g carbohydrates per ounce so that pineapple has 3g of carbohydrates per ounce and watermelon has 2g of carbohydrates per ounce.
Concept/Formula used: Set the equation using following statement of equality.
Calculation: Let total ounces of pineapple be x and of watermelon be y. So, required equation representing the situation is set using above formula as;
And from its graph, it is cleared that ounces from watermelons are from range 0 to 8 and ounces from pineapple are from range 0 to 12.
Conclusion: So, Domain is
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