Question

At a flea market, used computer games are sold at the prices shown in the table below.Number of Games/Price ($)2/9.005/22.507/31.50Do the number of games and price form a proportional relationship?Choose the correct response.A.Yes. There is a constant of proportionality of $11.25.B.Yes. There is a constant of proportionality of $4.50.C.No. There is not a constant of proportionality.D.No. The slope is 4.5.

Answer 1

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where k is the constant of proportionality

where k is the constant of proportionality

so

Verify

Let

x -----> numb

Find out the value of k in each case

er of games

y ----> price

Find out the value of k in each case

For x=2, y=9

k=y/x

k=9/2=$4.5 per game

For x=5, y=22.50

k=22.5/5=$4.50 per game

For x=7, y=31.50, because the value ok is the smaamef K

k=31.50/7=$4.50 per game

that means

Yes , Irs a proportional relationship

the answer is the option B