Help plz!!!!!
A realtor makes 5% commission on each sale.
1. Define the variables and write an equation to represent the relationship between the price of a home and the commission received.
2. How much commission will the realtor earn for selling a $150,000 home?
3. If the realtor earned an $8750 commission, what was the price of the home?
Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square P.
A=determine the area of both squares
B=Determine the percent decrease in area from Square P to Square Q
1. Variable:
- P: price of the home
- C: commission received by the realtor
Equation:
C = 0.05 * P
2. To find the commission earned for selling a $150,000 home, substitute P = $150,000 into the equation:
C = 0.05 * $150,000
C = $7,500
The realtor will earn a $7,500 commission for selling a $150,000 home.
3. To find the price of the home if the realtor earned an $8,750 commission, rearrange the equation:
C = 0.05 * P
P = C / 0.05
Substitute C = $8,750 into the equation:
P = $8,750 / 0.05
P = $175,000
The price of the home would be $175,000 if the realtor earned an $8,750 commission.
1. To define the variables and write an equation representing the relationship between the price of a home and the commission received, let's assign the following variables:
- P: Price of the home
- C: Commission received by the realtor
The realtor earns a 5% commission on each sale. This means that the commission is calculated as 5% of the price of the home. To represent this relationship in an equation, we can use the formula for calculating a percentage:
C = (5/100) * P
In this equation, we multiply the price (P) by the percentage (5/100) to find the commission (C) the realtor will receive.
2. To calculate how much commission the realtor will earn for selling a $150,000 home, we can substitute the given value into the equation we derived:
C = (5/100) * $150,000
C = 0.05 * $150,000
C = $7,500
Therefore, the realtor will earn a $7,500 commission for selling a $150,000 home.
3. If the realtor earned an $8,750 commission, we can use the same equation to find the price of the home. We can rearrange the equation to solve for P:
C = (5/100) * P
$8,750 = (5/100) * P
To isolate P, we can divide both sides of the equation by (5/100):
P = $8,750 / (5/100)
P = $8,750 * (100/5)
P = $8,750 / 0.05
P = $175,000
Therefore, the price of the home is $175,000 if the realtor earned an $8,750 commission.
C = .05P , where C is commission, and P is the price of the home
Plug in the given value to find the missing variable for each question