Jeremiah is tracking how many customers he can assist in an afternoon. He listed the number of customers assisted per hour in the following table:Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.A - This is an exponential function because there is a common ratio of 2.B - This is a linear function because there is a common difference of 4.C - This is an exponential function because there is a common ratio of 4.D - This is a linear function because there is a common difference of 2
Accepted Solution
A:
Answer:Option D is the correct answer.D. This is a linear function because there is a common difference of 2.Step-by-step explanation:Linear function--A function is said to be linear if the rate of change is constant.i.e. the function is increasing by a fixed constant.Here the table is given by:Hour (x) Number of Customers f(x) 1 2 2 4 3 6From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.i.e. the rate of change is constant i.e. 2.Also, the common difference is 2.Since,4 - 2 = 2and 6 - 4 = 2Hence, the table represents a linear function.