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

Question

Temp (C) Volume (ml)
x 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 ((degrees)) and represents the rate of change of volume per degree rise in temperature
I keep getting 5 but im not sure please help :(

Answer 1

It would help if you showed your work. How do you get 5?

x is °C
f(x) is ml, so
the rate of change of ml/°C is just Δf/Δx = 5/5 = 1

For problems like this, you must read the question carefully to see just what they are asking. You gave the quantity of change (no idea whether you meant x of f(x)), but they asked for the rate of change.

Answer 2

100