Question

A sporting goods store displays the following sale sign. What is the constant of proportionality? Regular Price (dollars) Sale Price (dollars) 25 18.75 150 112.50 225 168.75 A. 0.25 B. 0.33 C. 0.75 D. 1.75

Answer 1

Answer: OPTION C

Explanation:

The missing table is attached.

By definition, the Direct proportion equations have the following form:

`y=kx`

Where "k" is the constant of proportionality.

Notice that In this case the input values are identified in the table as "Regular Price (dollars)" and the output values are identified as "Sale Price (dollars)" .

Then, in order to find the value of the constant of proportionality, you must pick any input value from the table and its corresponding output value:

`x=25\\\\y=18.75`

Now you must substitute these values into the equation
`y=kx` and then you can solve for "k".

The constant of proportionality is:

`y=kx\\\\18.75=k(25)\\\\(18.75)/(25)=k\\\\k=0.75`