Question

Please help!!

Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the following table:

Hour (x) Number of Customers f(x)

1 4

2 8

3 12

Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.


This is an exponential function because there is a common ratio of 4.


This is a linear function because there is a common difference of 4.


This is a linear function because there is a common difference of 8.


This is an exponential function because there is a common ratio of 8.

Answer 1

Answer:b

Explanation:

Answer 2

This is a linear function because there is a common difference of 4

⇒ 2nd answer

Explanation:

- In the linear function there is a common difference between each two

consecutive data

- In the exponential function there is a common ratio between each two

consecutive data

- Lats check the data in the data in the table

(x) === 1 ⇒ 2 ⇒ 3

f(x) === 4 ⇒ 8 ⇒ 12

∵ x has consecutive numbers 1 , 2 , 3

∵ 8 - 4 = 4

∵ 12 - 8 = 4

∴ f(x) has a common difference 4

∵ 8 ÷ 4 = 2

∵ 12 ÷ 8 = 1.5

∴ f(x) has no common ratio

∴ The table represents a linear function with common difference 4

This is a linear function because there is a common difference of 4