Question

the table and equation below each represent linear equations

Answer 1

Function 1 and function have the same rate of change.

The rate of change for the function 2 is the slope m = 5( The coefficient of x)

For the function 1:

$\begin{gathered} (x1,y1)=(0,5) \\ (x2,y2)=(5,20) \\ m=\frac{20-5}{5-0}=\frac{15}{5}=3 \end{gathered}$

Since:

$5\ne3$

They dont have the same rate of change.

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The functions have the same value when x = 5.

For function 1:

$x=5,y=20$

For function 2:

$\begin{gathered} y(5)=5(5)+20 \\ y=45,x=5 \end{gathered}$

They have different values.

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The sum of the rates of change for both functions is 8

$3+5=8$

This is true