Question 1208482: 2 Using Desmos :
Luke is starting a landscaping business and will cut lawns. His startup cost to purchase two lawn mowers is $450. He will use $1 in gas for each lawn and will charge $10 per lawn.
a) Write a linear system to represent this problem. Remember to define your variables
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Maybe you can use Desmos on your own, but description feels like you want an equation for finding
profit for a number of lawns served. The cost of the lawn mowers just happens once. The revenue
from the lawns would happen more than just once, so this formula may be incomplete:
x, number of lawns
y, the profit
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
2 Using Desmos :
Luke is starting a landscaping business and will cut lawns. His startup cost to purchase two lawn mowers is $450. He will use $1 in gas for each lawn and will charge $10 per lawn.
a) Write a linear system to represent this problem. Remember to define your variables
With number of lawns to be mowed being x, we get revenue EQUATION as: R(x) = 10x
Cost EQUATION as: C(x) = x + 450
These are the required equations for your system.
As you may know, Profit = Revenue - Cost. So, in this case, Profit = R(x) - C(x)
Profit = 10x - (x + 450) = 10x - x - 450 = 9x - 450
And, BREAK-EVEN units occur when R(x) = C(x), or in this case, 10x = x + 450
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