Question

  

Multiple Select 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)

Answer 1

To find Sam's total profits from selling apples (a) and bananas (b), we need to multiply the profit per fruit by the number of each fruit sold. Sam earns a profit of $0.40 for each apple and $0.40 for each banana.

The total profit from apples would be \( 0.40a \) (where \( a \) is the number of apples sold) and the total profit from bananas would be \( 0.40b \). Therefore, the total profit would be:

\[ 0.40a + 0.40b \]

Looking at the options:

- C. \( 0.40a + 0.40b \) is correct.
- A. \( 0.40(ab) \) does not correctly represent the total profit since it suggests multiplying the number of apples and bananas together, which does not apply here.
- B. \( 0.40(a+b) \) represents the combined profit per count of fruit and would give the same result as C if we factor it.
- D. \( 0.40 + a + 0.40 + b \) does not correctly calculate the total profit.
- E. \( 0.80(ab) \) does not accurately represent the profit situation.
- F. \( 0.80(a+b) \) could be interpreted as the total profit if we factor it properly since it simplifies down to the same as C.

Therefore, the two correct choices that apply are:

C. \( 0.40a + 0.40b \) and F. \( 0.80(a+b) \).