Knowee
Questions
Features
Study Tools

Decide whether the data in the table represent a linear function or an exponential function. Explain how you know.x y1 1622 543 184 65 2A.The data represent a linear function because there is a common difference of 108.B.The data represent an exponential function because there is a common ratio of 3.C.The data represent a linear function because there is a common difference of –108.D.The data represent an exponential function because there is a common ratio of 1331​ .SUBMITarrow_backPREVIOUS

Question

Decide whether the data in the table represent a linear function or an exponential function. Explain how you know.x y1 1622 543 184 65 2A.The data represent a linear function because there is a common difference of 108.B.The data represent an exponential function because there is a common ratio of 3.C.The data represent a linear function because there is a common difference of –108.D.The data represent an exponential function because there is a common ratio of 1331​ .SUBMITarrow_backPREVIOUS

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The data represent an exponential function because there is a common ratio. If you divide each y-value by the previous y-value, you get a constant ratio. For example, 54/162 = 1/3, 18/54 = 1/3, 6/18 = 1/3, and 2/6 = 1/3. This constant ratio indicates that the function is exponential, not linear. Therefore, the correct answer is B. The data represent an exponential function because there is a common ratio of 3.

This problem has been solved

Similar Questions

Question 8 of 10Select the correct statement about the function represented by the table.x y1 262 443 624 805 98A.It is an exponential function because the factor between each x- and y-value is constant.B.It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.C.It is a linear function because the difference y − x for each row is constant.D.It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values.

Question 2 of 10These tables of values represent continuous functions. In which table do the values represent an exponential function?A.x y1 42 83 164 325 64B.x y1 82 163 244 325 40C.x y1 122 173 224 275 32D.x y1 92 103 114 125 13

Find the equation of the exponential function represented by the table below:xx yy00 1111 2222 4433 88

The value of a certain investment over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.Number of Years Since Investment Made, x1234Value of Investment ($), f(x)13,215.5515,826.8519,183.1022,951.00AnswerAttempt 1 out of 2 function would best fit the data because as x increases, the y values change . The of this function is approximately .

Question 1 of 10The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?x y1 72 263 454 645 83A.24B.38C.19D.1

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.