Question

Use the information in the table to find the constant ofproportionality and write the equationThe constant of proportionality isThe equation that represents this proportionalrelationship is

Answer 1

You have the following data set

x I y

2 5

4 10

5 12.5

In order to find the constant of proportionality, you calculate the quotient between values of y and x, just as follow:

`(y)/(x)=(5)/(2)=(10)/(4)=(12.5)/(5)=2.5`

Then, you can notice that all quotients are equal, this means that the constant of proportionality is 2.5.

Next, the equation that represent the proportionality is given by:

`y=kx`

where k is the constant of proportionality. In this case you have k = 2.5. Then, the equation is:

`y=2.5x`