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Rani is a real estate agent. For each house she sells, she pays
$100 in fees, but earns a commission of
1.8% of the selling price of the house. Rani's total profit from a particular house is
$4,580. If
p represents the selling price of the house, which equation best models the situation?
Choose 1 answer:
(A)
0.018 p-100=4580
(B)
0.018 p+100=4580
(C)
(100-0.018)p=4580
(D)
(100+0.018)p=4580

Rani is a real estate agent. For each house she sells, she pays $\$ 100$ in fees, but earns a commission of $1.8 \%$ of the selling price of the house. Rani's total profit from a particular house is $\$ 4,580$ . If $p$ represents the selling price of the house, which equation best models the situation? $\newline$ Choose $1$ answer: $\newline$ (A) $0.018 p-100=4580$ $\newline$ (B) $0.018 p+100=4580$ $\newline$ (C) $(100-0.018) p=4580$ $\newline$ (D) $(100+0.018) p=4580$

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Write a linear inequality: word problems

Full solution

Q. Rani is a real estate agent. For each house she sells, she pays

\$ 100

in fees, but earns a commission of

1.8 \%

of the selling price of the house. Rani's total profit from a particular house is

\$ 4,580

. If

p

represents the selling price of the house, which equation best models the situation?

\newline

Choose

1

answer:

\newline

(A)

0.018 p-100=4580

\newline

(B)

0.018 p+100=4580

\newline

(C)

(100-0.018) p=4580

\newline

(D)

(100+0.018) p=4580

Calculate Profit Equation: Rani's profit from selling a house is the commission she earns minus the fees she pays. The commission is $1.8\%$ of the selling price, which is represented by $0.018p$ , where $p$ is the selling price of the house. The fees are a flat rate of $\$100$ . Therefore, the profit can be calculated by subtracting the fees from the commission: $0.018p - 100$ .
Set Profit Equal to $\$4,580$ : We are given that Rani's total profit is $\$4,580$ . To find the equation that represents this situation, we set the expression for the profit equal to $\$4,580$ : $0.018p - 100 = 4,580$ .
Verify Equation Accuracy: To check if we have made any math errors, we can look at the options provided. Option (A) matches our equation: $0.018p - 100 = 4,580$ . This suggests that we have not made any math errors in our reasoning or calculations.

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