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