Given the function f(x) = –22 – 7x + 18, determine the average rate of change of the function over the interval -10 < x < -1.

Note: May be you meant to write the function as:

f(x)=-22x²-7x+18

The Average rate of function = 235

Step-by-step explanation:

Given the function

f(x) = –22x² – 7x + 18

Interval = -10 < x < -1

so

taking x₁ = -9, x₂ = -2 in the interval

f(x₁) = f(-9) = -22(-9)² – 7(-9) + 18

                = -1701

f(x₂) = f(-2) = -22(-2)² – 7(-2) + 18

                 = -56

Using the formula

Average rate of change = f(x₂) - f(x₁) / x₂-x₁

                                        = (-56) - (-1701) / (-2) - (-9)

                                         = (-56 + 1701) / (-2+9)

                                          =  1645 / 7

                                          = 235

Thus, the Average rate of function = 235

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walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40