Question

The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate explain? I’m confused

Answer 1

Answer:

The relationship can be described by a constant rate

Explanations:

Let the dogs walked be represented by x

Let the amount of money earned be represented by y

From the table:

`\begin{gathered} x_1=6,x_2=6,x_3=11 \\ y_1=112.50,y_2=150.00,y_3=\text{ 206.25} \end{gathered}`

For the relationship to be described by a constant rate:

`(y_2-y_1)/(x_2-x_1)=(y_3-y_2)/(x_3-x_2)`
`\begin{gathered} (y_2-y_1)/(x_2-x_1)=(150.00-112.50)/(8-6) \\ (y_2-y_1)/(x_2-x_1)=\text{ }(37.50)/(2) \\ (y_2-y_1)/(x_2-x_1)=18.75 \end{gathered}`
`\begin{gathered} (y_3-y_2)/(x_3-x_2)=(206.25-150.00)/(11-8) \\ (y_3-y_2)/(x_3-x_2)=(56.25)/(3) \\ (y_3-y_2)/(x_3-x_2)=18.75 \end{gathered}`

Since:

`(y_2-y_1)/(x_2-x_1)=(y_3-y_2)/(x_3-x_2)=18.75`

The relationship can be described by a constant rate of 18.75