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
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?

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.