Question

Try again. How many total pounds of aluminum cans will she have collected after 5 weeks? Use the tape diagram to help you solve.

?
6
4
4
4
4
4
Pounds of cans
to start
Pounds of cans in 5 weeks
Number of Weeks (w) Pounds of Cans (p)
3 18
5

10

Answer 1

To determine how many total pounds of aluminum cans she will have collected after 5 weeks, we'll first look at the provided information.

1. From the table:
- When \( w = 3 \), \( p = 18 \).
- When \( w = 5 \), we need to find \( p \).
- When \( w = 10 \), we are likely able to infer a pattern for \( p \).

To find the pounds of cans collected per week, we can calculate the rate of collection between weeks 3 and 5.

First, we need to infer how many pounds of cans are collected each week:

Since we have the information for 3 weeks and the total is 18 pounds:
- Pounds per week:
\[
\text{Pounds per week} = \frac{18 \text{ pounds}}{3 \text{ weeks}} = 6 \text{ pounds per week}
\]

Next, we can predict the total collection for 5 weeks:
\[
\text{Total pounds at 5 weeks} = 5 \text{ weeks} \times 6 \text{ pounds/week} = 30 \text{ pounds}
\]

Now, let’s verify with the provided data:
- For \( w = 10 \):
\[
\text{Total pounds at 10 weeks} = 10 \text{ weeks} \times 6 \text{ pounds/week} = 60 \text{ pounds}
\]

So, after reviewing everything, the total pounds of aluminum cans she will have collected after 5 weeks is **30 pounds**.