Question

Isaac keeps track of the miles per gallon his car gets per week. He has accumulated the following data:
(1, 24), (2, 24.48), (3, 24.97), (4, 25.47)
What is the common difference or ratio?
A. The common difference is 0.48.
B. The common difference is 0.50.
C. The common ratio is 0.98.
D. The common ratio is 1.02.

Answer 1

check for a common difference by working out 24.48 - 24 , then third value - second and 4th value - third to see if they are the same

Answer 2

C?

Answer 3

did you check the common differences?

Answer 4

Why do you think its is C?

Answer 5

idk

Answer 6

you check the common ratio as follows
r = 24.48 / 24 , 24.97 / 24.48 and 25.47/24.97

Answer 7

the common ratio multiplies each term to get the next
common difference adds the same value to get the next term

Answer 8

can you work out those divisions
24.48 / 24 = ?

use your calculator

Answer 9

1.02 sorry i was talking to my teacher

Answer 10

thats correct

now try 24.97 / 24.48
and 25.47/24.97

if these 2 are also 1.02 you'll know the correct choice

Answer 11

1.020016339869281 and 1.020024028834602

Answer 12

so D

Answer 13

right - well we won't worry about about the decimals after 1.0200

Yes it is D.

Answer 14

thnx :)

Answer 15

A gave differences or 0.48, 0.49 and 0.50 so its not an arithmetic sequence

Answer 16

yw

Answer 17

I could have just given you the answer but you learn more by getting involved yourself

Answer 18

thnx :)

Answer 19

yw