Question

Joseph earns $15 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows? Make a table to help you identify the relationships

Answer 1

Given that Joseph earns $15 for every lawn he mows.

so if he mows lown 1 time then his earning = $15

if he mows lown 2 time then his earning = $15*2= $30

if he mows lown 3 time then his earning = $15*3= $45

if he mows lown 4 time then his earning = $15*4= $60

if he mows lown 5 time then his earning = $15*5= $75

So the required table will be:

From the table we can see that Joseph's earning increases by $15 each time so we can say that YES, the amount of money he earns proportional to the number of lawns he mows.

Answer 2

Answer with explanation:

It is given that:

Joseph earns $15 for every lawn he mows.

If x denotes the number of lawns he mow.

and y denotes his earnings.

Then the equation which is obtained on the basis of this information is:

     $y=15x$

Also, the table of values is given as follows:

Number of lawn mowed         1          2          3           4  

 Earnings($)                           15       30         45        60

Yes, the amount of money he earns is proportional to the number of lawns he mows.

Since, with each increase in the number of lawns he mowed, his earnings are also increasing by a constant rate.

Hence, the relationship is a direct variation.