Question: Khloe used a ratio table to solve the following problem. Read the problem, then identify her strategy by filling in the blank below.
If you order 1 pizza, you will get 6 slices of pizza. How many slices of pizza are there in 16 pizzas?
pizzas
1 2 4 8 16
slices of pizza
6 12 24 48 96
Answer
Attempt 1 out of 2
The best description for the strategy that she used is
.
1. **State the problem:** We want to find how many slices of pizza there are in 16 pizzas if 1 pizza has 6 slices.
2. **Identify the ratio:** The ratio of pizzas to slices is given as 1 pizza : 6 slices.
3. **Explain the strategy:** Khloe used a ratio table to multiply the number of pizzas by 2 repeatedly to find the corresponding number of slices.
4. **Show the ratio table:**
$$\begin{array}{c|ccccc}
\text{Pizzas} & 1 & 2 & 4 & 8 & 16 \\
\hline
\text{Slices} & 6 & 12 & 24 & 48 & 96
\end{array}$$
5. **Explain the pattern:** Each time the number of pizzas doubles, the number of slices also doubles.
6. **Calculate slices for 16 pizzas:** Starting from 1 pizza with 6 slices, doubling pizzas 4 times (1 to 2, 2 to 4, 4 to 8, 8 to 16) doubles slices each time:
$$6 \times 2 = 12$$
$$12 \times 2 = 24$$
$$24 \times 2 = 48$$
$$48 \times 2 = 96$$
7. **Final answer:** There are $$96$$ slices of pizza in 16 pizzas.
8. **Summary of strategy:** Khloe used the strategy of **doubling** the number of pizzas and slices repeatedly to find the answer efficiently.