Question

The table shows the cost $\mathrm{y}$ of $\mathrm{x}$ pounds of sunflower seeds. What is the missing $\mathrm{y}$-value that makes the table represent a linear function?

Does the function have a maximum value?

Answer 1

Step 1: Finding the missing value of $\mathrm{y}$.

Given: The table represents a linear function.

So, $\mathrm{y}$ value increases constantly.

First value and third value is given. Its mean second value must be average of first and third as it is increased by same constant value.

Therefore, missing value is,

$$\begin{gathered} =\frac{2.80+5.60}{2} \\ =\frac{8.4}{2} \\ =4.2 \end{gathered}$$

So, the missing $\mathrm{y}$ value is $4.2$.

Step 2: Finding the maximum value of function

Now we know, Maximum value will occur at endpoint.

From the table we can observe maximum value is $5.60$ occur at $4$.

Hence, the function have maximum value at endpoint.