For every acre of lettuce harvested from Sabor Farms,

Question

1
9
of it is unsellable due to spoilage or other damage. This week, Sabor Farms harvested
18
acres of lettuce.

Part A: How can you represent the amount of sellable lettuce as a mathematical expression? Hint: Think about how to calculate the amount of spoiled lettuce, then consider the total harvest.

Part B: Simplify your expression from Part A. What is the result?

Select two answers: one for Part A and one for Part B.

Responses

A:
18
⋅
1
9
A:
18
⋅
1
9

B:
16
acres' worth of lettuce will be sellable this week.
B: 16 acres' worth of lettuce will be sellable this week.

B:
17
8
9
acres' worth of lettuce will be sellable this week.
B: 17 and 8 ninths acres' worth of lettuce will be sellable this week.

B:
20
acres' worth of lettuce will be sellable this week.
B: 20 acres' worth of lettuce will be sellable this week.

A:
18
−
(
18
⋅
1
9
)
A:
18
−
(
18
⋅
1
9
)

A:
18
−
1
9
A: 18 minus 1 ninth

A:
18
+
(
18
⋅
1
9
)
A:
18
+
(
18
⋅
1
9
)

B:
2
acres' worth of lettuce will be sellable this week.
B: 2 acres' worth of lettuce will be sellable this week.
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Answer 1

To solve the problem about Sabor Farms' lettuce harvest, let's break it down as requested:

Part A:

To find the amount of sellable lettuce, we must first determine the amount that is unsellable due to spoilage. Since \( \frac{1}{9} \) of the harvested lettuce is unsellable, the mathematical expression for the amount of unsellable lettuce would be:

\[ \text{Unsellable lettuce} = 18 \cdot \frac{1}{9} \]

Then, to find the amount of sellable lettuce, we subtract the amount of unsellable lettuce from the total amount harvested:

\[ \text{Sellable lettuce} = 18 - (18 \cdot \frac{1}{9}) \]

The correct response for Part A is: A: \( 18 - (18 \cdot \frac{1}{9}) \)

Part B:

Now we will simplify the expression from Part A.

Calculating the unsellable portion: \[ 18 \cdot \frac{1}{9} = 2 \]

Now, subtract this from the total harvested: \[ \text{Sellable lettuce} = 18 - 2 = 16 \]

Thus, the amount of sellable lettuce is: B: 16 acres' worth of lettuce will be sellable this week.

So the final answers are:

• Part A: \( 18 - (18 \cdot \frac{1}{9}) \)
• Part B: 16 acres' worth of lettuce will be sellable this week.