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)
D.
0.40+a+0.40+b
E.
0.80(ab)
F.
A.
0.40(ab)
B.
0.40(a+b)
D.
0.40+a+0.40+b
E.
0.80(ab)
F.
Answers
GPT-4o mini
To find the total profits from selling apples and bananas, we need to consider the number of apples sold (let's say \( a \)) and the number of bananas sold (let's say \( b \)). Since Sam earns $0.40 profit for each apple and $0.40 for each banana, we can express the total profit as:
- Profit from apples: \( 0.40a \)
- Profit from bananas: \( 0.40b \)
Thus, the total profit from both apples and bananas would be:
\[
\text{Total Profit} = 0.40a + 0.40b
\]
This can also be factored to:
\[
0.40(a + b)
\]
Given the options you listed, the relevant expressions that represent Sam's total profit from selling apples and bananas would be:
**B. \( 0.40(a + b) \)**
This expression shows the total profit from selling both apples and bananas by summing their quantities first.
Another appropriate expression is:
**D. \( 0.40 + a + 0.40 + b \)**
However, that expression is not quite right in this context, because it does not correctly express total profit as it adds quantities \( a \) and \( b \) instead of their respective profits. So it should not be what we're looking for.
The most accurate and suitable option is:
- **B. \( 0.40(a + b) \)**
It appears you need to clarify the correct options based on the provided context, but D does not apply to calculate total profit correctly.
Thus, the correct answer regarding total profits will only highlight option B as relevant. If there are other selections to choose from or if you can clarify, please let me know!
- Profit from apples: \( 0.40a \)
- Profit from bananas: \( 0.40b \)
Thus, the total profit from both apples and bananas would be:
\[
\text{Total Profit} = 0.40a + 0.40b
\]
This can also be factored to:
\[
0.40(a + b)
\]
Given the options you listed, the relevant expressions that represent Sam's total profit from selling apples and bananas would be:
**B. \( 0.40(a + b) \)**
This expression shows the total profit from selling both apples and bananas by summing their quantities first.
Another appropriate expression is:
**D. \( 0.40 + a + 0.40 + b \)**
However, that expression is not quite right in this context, because it does not correctly express total profit as it adds quantities \( a \) and \( b \) instead of their respective profits. So it should not be what we're looking for.
The most accurate and suitable option is:
- **B. \( 0.40(a + b) \)**
It appears you need to clarify the correct options based on the provided context, but D does not apply to calculate total profit correctly.
Thus, the correct answer regarding total profits will only highlight option B as relevant. If there are other selections to choose from or if you can clarify, please let me know!