Question

The function W defined by W(alpha)=1.9alpha + 2.3 models the weight of a kitten, in ounces, that is a weeks old for 0 <= alpha <= 6. According to this model, what is the weight, in ounces, of a kitten that is 3 weeks old?

Upper Level Math
ANSWERED
asked 2021-01-31
The function W defined by \(\displaystyle{W}{\left(\alpha\right)}={1.9}\alpha+{2.3}\) models the weight of a kitten, in ounces, that is a weeks old for \(\displaystyle{0}\le\alpha\le{6}\). According to this model, what is the weight, in ounces, of a kitten that is 3 weeks old?

Answers (1)

2021-02-01

Step 1
Given, the function W that models the weight of a kitten, in ounces, that is alpha weeks old for \(\displaystyle{0}\le{a}\le{6}\) is defined as
\(\displaystyle{W}{\left(\alpha\right)}={1.9}\alpha+{2.3}\)
Step 2
We need to find the weight of a kitten that is 3 weeks old,i.e.we need to compute the value of W(3).
According to the given model,
\(W(3) = 1.9(3)+2.3=5.7+2.3=8\) ounces
Result: The weight of a 3 weeks old kitten is 8 ounces.

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