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Over [174]
4 years ago
8

Determine whether the relation describe c as a function of w.

Mathematics
1 answer:
Delicious77 [7]4 years ago
5 0

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

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Step-by-step explanation:

Let

h -----> the number of hats

y ----> the amount of yarn in yards  

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Part 1) Write an equation to represent the relationship between the numbers of yards of yarn Paula has and the number of hats she can knit

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Part 2) What does the constant if proportionality 42, represent in this problem?

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h=42y

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Part b) For h=3 hats Find the value of y

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Part c) For y=210 yd Find the value of h

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Part d) For y=378 yd Find the value of h

substitute in the linear equation the value of y and solve for h

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Part 3) For h=11 hats Find the value of y

substitute in the linear equation the value of h and solve for y

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Part 4) Interpret the meaning of the point (378,9)

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That means -----> For 378 yards of yarn Paula can knit 9 hats

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