Question

Need help with this math problem questions 4 and 5 go together

Answer 1

4) Check below, please.

5) y=21x

4) Considering that table, let's call "servings" as the x-values (horizontal axis) on our graph. And as the calories are the outputs, we can label the y-axis (vertical one).

Let's enlist the points (1,21), (2,42), (3,63), (4,84), (5,105) we are going to need.

5)A function has one single element on the domain corresponding to one element on the Range.

Note that for each element, we have one and only corresponding element on the Range. So this is a one-to-one function. Let's write its rule, picking two points and getting the slope:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(42-21)/(2-1)=(21)/(1)=21 \\ y=mx+b \\ 21=21(1)+b \\ b=0 \end{gathered}`

After finding the slope, we can plug one point into the slope-intercept formula to check the value of the linear coefficient. In this case, is zero. So we can write the function's rule as:

`y=21x`