Question
Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which expressions show Sam's total profits from selling apples (a) and bananas (b)? Select two that apply.
A.
0.40(ab)
B.
0.40(a+b)
C.
0.40a+0.40b
D.
0.40+a+0.40+b
E.
0.80(ab)
F.
0.80(a+b)
A.
0.40(ab)
B.
0.40(a+b)
C.
0.40a+0.40b
D.
0.40+a+0.40+b
E.
0.80(ab)
F.
0.80(a+b)
Answers
GPT-4o mini
To determine the expressions that show Sam's total profits from selling apples (a) and bananas (b), we need to understand that Sam earns a profit of $0.40 for each apple and a profit of $0.40 for each banana.
1. For selling **a** apples, the profit would be \(0.40a\).
2. For selling **b** bananas, the profit would be \(0.40b\).
To find the total profit from selling both apples and bananas, we would add these two profits together:
\[ \text{Total profit} = 0.40a + 0.40b \]
Now, let's evaluate the given options:
A. \(0.40(ab)\) - This is incorrect, as it implies multiplying the number of apples by the number of bananas, which does not relate to profit earned.
B. \(0.40(a+b)\) - This is incorrect, as it suggests multiplying the total number of fruits sold by $0.40, which does not correctly represent the separate profits from apples and bananas.
C. \(0.40a + 0.40b\) - This is correct, as it accurately expresses the total profit by separately accounting for the profits from selling apples and bananas.
D. \(0.40 + a + 0.40 + b\) - This is incorrect, as it does not represent the profit calculation at all.
E. \(0.80(ab)\) - This is incorrect, similar to option A, as it suggests multiplying the number of apples by the number of bananas.
F. \(0.80(a+b)\) - This is incorrect, as it does not accurately calculate the profits from selling apples and bananas separately.
The two correct choices are:
- C. \(0.40a + 0.40b\)
No other options correctly calculate the total profits, so the only applicable expression is:
- C. \(0.40a + 0.40b\)
1. For selling **a** apples, the profit would be \(0.40a\).
2. For selling **b** bananas, the profit would be \(0.40b\).
To find the total profit from selling both apples and bananas, we would add these two profits together:
\[ \text{Total profit} = 0.40a + 0.40b \]
Now, let's evaluate the given options:
A. \(0.40(ab)\) - This is incorrect, as it implies multiplying the number of apples by the number of bananas, which does not relate to profit earned.
B. \(0.40(a+b)\) - This is incorrect, as it suggests multiplying the total number of fruits sold by $0.40, which does not correctly represent the separate profits from apples and bananas.
C. \(0.40a + 0.40b\) - This is correct, as it accurately expresses the total profit by separately accounting for the profits from selling apples and bananas.
D. \(0.40 + a + 0.40 + b\) - This is incorrect, as it does not represent the profit calculation at all.
E. \(0.80(ab)\) - This is incorrect, similar to option A, as it suggests multiplying the number of apples by the number of bananas.
F. \(0.80(a+b)\) - This is incorrect, as it does not accurately calculate the profits from selling apples and bananas separately.
The two correct choices are:
- C. \(0.40a + 0.40b\)
No other options correctly calculate the total profits, so the only applicable expression is:
- C. \(0.40a + 0.40b\)