Question

116 student.greendot.org Problem ID: PRABETQJ A phone keeps track of the number of steps taken and the distance traveled. Based on the information in the table, is there a proportional relationship between the two quantities? number of steps distance in kilometers 950 1 2,852 3 4,845 5.1 copied for free from openupresources.org Select one: 100 OYes ONO 6:07 Submit Answer

Answer 1

There will be a proportional relationship if:

`\begin{gathered} y=kx \\ \text{where:} \\ k=\text{constant of proportionality} \\ x\in R \\ y\in R \\ k\in R \\ \end{gathered}`

therefore:

`\begin{gathered} x=950 \\ y=1 \\ 1=950k \\ k=(1)/(950) \\ ------ \\ \text{Verify:} \\ \text{for} \\ x=2852 \\ y=3 \\ 3=2852\cdot(1)/(950) \\ 3=3.00 \\ ----- \\ \text{for} \\ x=4845 \\ y=5.1 \\ 5.1=4845\cdot(1)/(950) \\ 5.1=5.1 \end{gathered}`

Answer:

Since k satisfies the equation there is a proportional relationship