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.

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

⇒ 2nd answer

Step-by-step 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