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.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: