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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

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 th class=

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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                  6

From 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 = 2

and

6 - 4 = 2

Hence, the table represents a linear function.

fichoh

The function represented by the table depicts a linear function as it yields a straight line with a common difference of 2

The number of hours and the number of customers exhibits a positive linear association, as the number of customers increases at a constant rate per increase in the number of hours.

The common difference, is the difference between each successive values in the distribution.

  • Common difference = d2 - d1 = d3 - d2

Common difference = 4 - 2 = 6 - 4 = 2

Hence, the common difference is 2

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