The table shows the cost y (in dollars) of x pounds of sunflower seeds.

a. What is the missing y-value that makes the table represent a linear function?

The missing y-value is

b. Write a linear function that represents the cost y of x pounds of seeds. Interpret the slope.

c. Does the function have a maximum value? Explain your reasoning.
The function _ have a maximum value because you _ increase the cost by increasing the amount of sunflower seeds purchased.

Part a: The missing y - value is

Part b: The linear function is and slope is

Part c: The function does not have a maximum value.

Explanation:

Part a: From the table we can see that the change in x, is a constant.

To determine the missing y -  value, we have,

Simplifying, we get,

Thus, the missing y - value is

Part b: The linear function can be determined using the formula,

First, we shall find the slope using the coordinates and

Slope

The y - intercept can be determined when the value of x is zero. Since, from the table we can see that none of the x-values are zero. Hence, the y - intercept is zero.

Thus, we have,

Substituting and in the formula , we get,

Hence, the linear function is given by

Part c:

From the table, we can see that, as the value of x increases, the value of y also increases.

Hence, the function does not have a maximum value.

step-by-step explanation:

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