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 (
) and bananas (
)? 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)
) and bananas (
)? 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)
Answers
GPT-4o mini
To determine the expressions that show Sam's total profits from selling apples and bananas, we need to consider how profits are calculated for each type of fruit.
Let:
- \( a \) be the number of apples sold.
- \( b \) be the number of bananas sold.
Since Sam earns $0.40 profit for each apple and $0.40 profit for each banana, the total profit can be calculated as:
- Profit from apples: \( 0.40a \)
- Profit from bananas: \( 0.40b \)
Thus, the total profit from selling both apples and bananas can be expressed as:
\[
\text{Total Profit} = 0.40a + 0.40b
\]
Now, let’s evaluate the provided answer choices:
A. \( 0.40(ab) \) - This does not represent the sum of profits, as it multiplies \( a \) and \( b \) together.
B. \( 0.40(a + b) \) - This represents the total profit if considering the total number of fruits sold, but it does not correctly express the calculation for profits from apples and bananas individually.
C. \( 0.40a + 0.40b \) - This is the correct expression for the total profits from selling apples and bananas.
D. \( 0.40 + a + 0.40 + b \) - This does not represent total profit calculations correctly as it mixes profit and quantities.
E. \( 0.80(ab) \) - This incorrectly uses multiplication of quantities and profits, which isn't correct for calculating total profit.
F. \( 0.80(a + b) \) - This would work if each unit of fruit resulted in $0.80 profit, but it does not match the correct profit for apples and bananas sold at $0.40 each.
Therefore, the two correct expressions that show Sam's total profits from selling apples and bananas are:
**C. \( 0.40a + 0.40b \)**
And since no other suitable option exists matching the profit calculation; the answer is limited only to C.
Let:
- \( a \) be the number of apples sold.
- \( b \) be the number of bananas sold.
Since Sam earns $0.40 profit for each apple and $0.40 profit for each banana, the total profit can be calculated as:
- Profit from apples: \( 0.40a \)
- Profit from bananas: \( 0.40b \)
Thus, the total profit from selling both apples and bananas can be expressed as:
\[
\text{Total Profit} = 0.40a + 0.40b
\]
Now, let’s evaluate the provided answer choices:
A. \( 0.40(ab) \) - This does not represent the sum of profits, as it multiplies \( a \) and \( b \) together.
B. \( 0.40(a + b) \) - This represents the total profit if considering the total number of fruits sold, but it does not correctly express the calculation for profits from apples and bananas individually.
C. \( 0.40a + 0.40b \) - This is the correct expression for the total profits from selling apples and bananas.
D. \( 0.40 + a + 0.40 + b \) - This does not represent total profit calculations correctly as it mixes profit and quantities.
E. \( 0.80(ab) \) - This incorrectly uses multiplication of quantities and profits, which isn't correct for calculating total profit.
F. \( 0.80(a + b) \) - This would work if each unit of fruit resulted in $0.80 profit, but it does not match the correct profit for apples and bananas sold at $0.40 each.
Therefore, the two correct expressions that show Sam's total profits from selling apples and bananas are:
**C. \( 0.40a + 0.40b \)**
And since no other suitable option exists matching the profit calculation; the answer is limited only to C.