Question

Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine

Answer 1

Answer:

Option (A)

Step-by-step explanation:

Function to represent the cost of producing 't' tires is,

C(t) = -0.45t² + 12t + 450

Since average rate of change of the function in the interval (a, b) is given by,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

Following this rule,

Average rate of change in the interval (2, 4)

= $\frac{C(4)-C(2)}{4-2}$

= $\frac{490.8-472.2}{4-2}$

= 9.3

Average rate of change in the interval (46, 48)

= $\frac{-10.8-49.8}{2}$

= -30.3

Average rate of change in the interval (12, 14)

= $\frac{529.8-529.2}{2}$

= 0.3

Average rate of change in the interval (22, 24)

= $\frac{478.8-496.2}{24-22}$

= --8.7

Average rate of change is greatest in the interval (2, 4)

Option (A) will be the answer.