Question

3Select all the correct locations below each table.For each table of values, select whether the table represents a linear or exponential relationship.Function Ay6.083X39.25214.0712 21.4069linearexponentialFunction Bу7X46810142128ResetlinearexponentialNextFunction CX y1602106410.25linearexponentially

Answer 1

Given:

The functions are:

Find-:

The function linear or exponential

Explanation-:

For linear function

$m=\frac{y_2-y_1}{x_2-x_1}$

Check for points:

$\begin{gathered} (x,y)=(3,6.083) \\ \\ (x,y)=(6,9.252) \\ \\ (x,y)=(9,14.07) \end{gathered}$$\begin{gathered} m=\frac{9.252-6.083}{6-3} \\ \\ m=1.056 \end{gathered}$$\begin{gathered} m=\frac{14.07-9.252}{9-6} \\ \\ m=1.606 \end{gathered}$

So, it is not a linear function it is an exponential function.

Function B

$\begin{gathered} (x,y)=(4,7) \\ \\ (x,y)=(6,14) \\ \\ (x,y)=(8,21) \end{gathered}$

Then the slope is:

$\begin{gathered} m=\frac{14-7}{6-4} \\ \\ m=\frac{7}{3} \end{gathered}$$\begin{gathered} m=\frac{21-14}{8-6} \\ \\ m=\frac{7}{2} \end{gathered}$

So, it is a linear function.

Function C-

$\begin{gathered} (x,y)=(0,16) \\ \\ (x,y)=(2,4) \\ \\ (x,y)=(4,1) \end{gathered}$$\begin{gathered} m=\frac{4-16}{2-0} \\ \\ m=-6 \end{gathered}$$\begin{gathered} m=\frac{1-4}{4-2} \\ \\ m=-\frac{3}{2} \end{gathered}$

it is an exponential function.