Question

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


http://prntscr.com/bs66hd (graph)


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 1

@mathstudent55 @jim_thompson5910 @AloneS

Answer 2

Using the table, when x = 11, what is the value of f(x) ?

Answer 3

f(11)?

Answer 4

look at the row that has x = 11. Then look directly across from x = 11 to find the value ______

Answer 5

95?

Answer 6

yes

Answer 7

when x = 21, the value of f(x) is what?

Answer 8

f(21)

Answer 9

again, use the table

Answer 10

you don't have a function f(x) like you did in the last problem

Answer 11

100,

Answer 12

no

Answer 13

Is the final answer 5?

Answer 14

Oh 105 sorry typo.

Answer 15

when the temp is 21, the volume is _______

Answer 16

yes 105

Answer 17

so we have this info

temp = 11
volume = 95

temp = 21
volume = 105

Answer 18

Oh so the difference between the two is 10?

Answer 19

change in volume = 105 - 95 = 10
change in temp = 21-11 = 10

divide the two changes

(change in volume)/(change in temp) = 10/10 = 1

Answer 20

So is that the final answer?

Answer 21

the rate of change is 1 mL per degree Celsius

basically that means each time the temperature goes up one degree Celsius, the volume goes up 1 mL

Answer 22

yeah it's just 1

Answer 23

Thank you again! I might have 1 or two more. Ill tag you :D

Answer 24

no problem