Question

Arianna is making lemonade with water, lemons, and sugar.

The table shows 3 tablespoons of sugar needed for 12 ounces of water, 5 for 20 ounces, unknown for 36 ounces, 12 for 48 ounces, and 17 for 68 ounces.

Based on the table, how many tablespoons of sugar are needed for 36 ounces of water?

A.
4 tablespoons

B.
7 tablespoons

C.
8 tablespoons

D.
9 tablespoons

Answer 1

To find the amount of sugar needed for 36 ounces of water based on the given data, let's first examine the relationship between the amount of sugar and the amount of water.

From the table:

- 3 tablespoons for 12 ounces
- 5 tablespoons for 20 ounces
- Unknown for 36 ounces
- 12 tablespoons for 48 ounces
- 17 tablespoons for 68 ounces

We can calculate the sugar per ounce for the known measurements:

1. For 12 ounces:
\[
\text{Sugar} = \frac{3 \text{ tablespoons}}{12 \text{ ounces}} = 0.25 \text{ tablespoons per ounce}
\]

2. For 20 ounces:
\[
\text{Sugar} = \frac{5 \text{ tablespoons}}{20 \text{ ounces}} = 0.25 \text{ tablespoons per ounce}
\]

3. For 48 ounces:
\[
\text{Sugar} = \frac{12 \text{ tablespoons}}{48 \text{ ounces}} = 0.25 \text{ tablespoons per ounce}
\]

4. For 68 ounces:
\[
\text{Sugar} = \frac{17 \text{ tablespoons}}{68 \text{ ounces}} = 0.25 \text{ tablespoons per ounce}
\]

All these measurements consistently show that the amount of sugar is 0.25 tablespoons per ounce of water.

Now, let's calculate the sugar needed for 36 ounces:

\[
\text{Sugar for 36 ounces} = 36 \text{ ounces} \times 0.25 \text{ tablespoons/ounce} = 9 \text{ tablespoons}
\]

Thus, the amount of sugar needed for 36 ounces of water is:

**D. 9 tablespoons**