Rosana is tracking how many customers she can serve in a morning. She listed the number of customers served per hour in the following table:

Hour (x) Number of Customers f (x)

1 3

2 5

3 7

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

A. This is a linear function because there is a common difference of 2.

B. This is an exponential function because there is a common ratio of 2.

C. This is a linear function because there is a common difference of 3.

D. This is an exponential function because there is a common ratio of 3.

Question

Mathematics

Isla Avila

15 February, 17:08

Rosana is tracking how many customers she can serve in a morning. She listed the number of customers served per hour in the following table:

Hour (x) Number of Customers f (x)

1 3

2 5

3 7

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

A. This is a linear function because there is a common difference of 2.

B. This is an exponential function because there is a common ratio of 2.

C. This is a linear function because there is a common difference of 3.

D. This is an exponential function because there is a common ratio of 3.

+1

Answers (2)

Know the Answer?

Theresa Freeman · Answer 1

A. This is a linear function because there is a common difference of 2

Step-by-step explanation:

Differences are ...

5 - 3 = 2 7 - 5 = 2

The differences of 2 are common, so this is an arithmetic function.

Esther Castaneda · Answer 2

Option: A is the correct answer.

A. 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 3

2 5

3 7

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,

5-3=2

and 7-5=2

Hence, the table represents a linear function.