Question

30≤x≤60. Please answer this thankyou

Answer 1

`(1)/(5)`

Explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

`\boxed{(f(b)-f(a))/(b-a)}`

The given interval is 30 ≤ x ≤ 60.

Therefore:

• a = 30
• b = 60

From inspection of the table:

• f(a) = f(30) = 13
• f(b) = f(60) = 19

Substitute the values into the formula:

`\begin{aligned}\textsf{Average rate of change}&=(f(60)-f(30))/(60-30)\\\\&=(19-13)/(60-30)\\\\&=(6)/(30)\\\\&=(1)/(5)\end{aligned}`

Therefore the average rate of change in simplest form of the given function over the interval 30 ≤ x ≤ 60 is ¹/₅.

Answer 2

• 1/5 or 0.2

Explanation:

According to table the two points are:

• (30, 13) and (60, 19)

Average rate of change between x = 30 and x = 60 is:

• (19 - 13) / (60 - 30) =
• 6 / 30 =
• 1/5 or 0.2