230k views
1 vote
Samantha's hockey team is fundraising for a trip to Europe! They are aerating lawns to raise money. Aerating lawns is a great service for homeowners because it helps the grass grow new roots and absorb water producing healthier lawns! The team has decided to charge $35/lawn for city-sized lots. The rental cost for two aerating machines is $215. Samantha's team has planned a Saturday to aerate

Write an equation to relate the fund raised, R, in dollars to the number of lawns, l, aerated during the day.
Samantha's team was able to aerate 26 lawns in one day! How much money did they raise?
How much money would the team lose if they were unable to aerate due to weather conditions? Is there any possible way they could avoid this potential loss?

User Visc
by
5.0k points

2 Answers

6 votes

Final answer:

The equation to relate the funds raised to the number of lawns aerated is R = 35 * l. Samantha's team raised $910 by aerating 26 lawns. They would lose $910 if they were unable to aerate. They could avoid this by rescheduling or offering a rain date.

Step-by-step explanation:

To find the amount of money raised, R, in dollars, we can use the equation R = l * C, where l is the number of lawns aerated and C is the cost per lawn. In this case, the cost per lawn is $35. So the equation becomes R = 35 * l. Since Samantha's team aerated 26 lawns in one day, we can substitute l with 26 in the equation to find the amount of money raised. Therefore, R = 35 * 26 = $910. If the team was unable to aerate due to weather conditions, they would lose the potential earnings of $910. To avoid this potential loss, the team could consider rescheduling the aerating day or offering a rain date to homeowners.

User Edney Holder
by
5.3k points
5 votes

Answer:

Step-by-step explanation:

Let the fund raised in dollars be represented by R.

Let the number of lawns aerated during the day be represented by l.

The team has decided to charge $35/lawn for city-sized lots. This means that for l lawns, the fund raised would be

R = 35l

Since they were able to aerate 26 lawns in one day and the rental cost for two aerating machines is $215, then the amount if money that they were able to raise is

(35 × 26) - 215

= 910 - 215 = $695

The amount of money that the team will lose if they were unable to aerate due to weather conditions is the rental cost for two aerating machines which is $215

The only way they could avoid this loss is by taking note of the weather before renting the machine.

User Eonema
by
4.9k points