Interpolation and Interpolation and ExtrapolationExtrapolation

Interpolation is a way of determining variables on a graph within the given data

Extrapolation is a way of determining variables on a graph outside the given data

Some brief descriptions;

If I wanted to figure out how much snow would fall in 2.5 hours, I would draw a broken line up to the line of best fit. Next from where the broken line met the line of best fit, I would make a dotted line going to the left.

Approximately, 12.5cm of snow would fall after 2 ½ hrs.

Extrapolation is almost like interpolation, but first I must extend the line of best fit then you can figure out what you need. How far would you travel in 7 2/3 hours?

You would travel approximately 155Km

Kilometres traveled vs Hours

0

20

40

60

80

100

120

140

160

0 1 2 3 4 5 6 7 8

Hours

Km

/H

1. If you traveled for 3 ½ hours how far have you traveled?

2. How long have you traveled for if you went 75km out?

Using interpolation, I found out that in 3 ½ hours, you would have traveled 70km

If you were 75km out, you would have traveled for 3 ¾ hrs.

Snow vs Time

0

5

10

15

20

25

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

Time (hrs)

Sn

ow

(cm

)

1. How much snow would drop after 4 ½ hrs?

2. How long would it take for 21.125cm of snow to fall?

1. 22.5cm of snow would have fallen from the sky after 4 ½ hrs.

2. It would take 4 ¼ hrs for 21.125cm of snow.