Question

The table below represents the volume of a liquid sample as a function of its temperature:

Temperature (°C)
x

Volume
(ml)
f (x)


11

95


16

100


21

105


26

110

The average rate of change of f(x) between x = 11 to x = 21 is _____ml per °C and represents the rate of change of volume per degree rise in temperature.

Answer for Blank 1:

Answer 1

Given at 11 °C = 95 mL and at 21 °C = 105 mL, then the rate of change of volume per degree rise in temperature is calculated as follows.

(V2 - V1)/(T2 - T1) = (105 mL - 95 mL) / (21°C - 11°C) = 10 mL / 10°C
= 1 mL / °C

Therefore, the average rate of change of f(x) between x = 11 to x = 21 is 1 mL/°C.