For a certain frozen pizza, as the cost goes from $2 to $4, the demand can be modeled by the formula y = -10x2 + 60x + 180, where x represents the cost and y represents the number of pizzas sold. estimate the cost that will result in the greatest demand.

The cost that will result in the greatest demand is $3

Step-by-step explanation:

Let

x ------> represents the cost  

y -----> represents the number of pizzas sold

we have

This is a quadratic equation (vertical parabola) open downward

The vertex is a maximum

To find out the greatest demand calculate the vertex

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex

Convert the quadratic equation in vertex form

Complete the squares

Factor the leading coefficient

Rewrite as perfect square

----> equation in vertex form

The vertex is the point (3,270)

therefore

For the greatest demand

The cost is $3

The number of pizzas sold is 270

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

ok then what happened.