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. 

Answer 1

To express Sam's total profits from selling apples and bananas, we need to consider that he earns a profit of $0.40 for each apple sold (let's denote the number of apples sold as \( a \)) and $0.40 for each banana sold (denote the number of bananas sold as \( b \)).

The total profit can be calculated as follows:

1. Profit from apples: \( 0.40a \)
2. Profit from bananas: \( 0.40b \)

The total profit is then the sum of the two profits from apples and bananas:

\[
\text{Total Profit} = 0.40a + 0.40b
\]

Now let's analyze the answer choices to find those that correctly express Sam's total profit.

A. \( 0.40(ab) \) - This represents \( 0.40 \) times the product of \( a \) and \( b \), which does not correctly express total profit. **(Not applicable)**

B. \( 0.40(a+b) \) - This represents \( 0.40 \) times the total number of fruits sold, which is not a direct expression of profit from apples and bananas because it combines them incorrectly. **(Not applicable)**

C. \( 0.40a + 0.40b \) - This is the correct expression for total profit from selling apples and bananas. **(Applicable)**

D. \( 0.40 + a + 0.40 + b \) - This expression does not represent profits but rather an incorrect addition of constants and variables. **(Not applicable)**

Therefore, the only expression that correctly represents Sam's total profit is:

**C: \( 0.40a + 0.40b \)**

No other options correctly express the total profits from selling the apples and bananas. Thus, the answer is:

**C.**