Question

the double number line shows that faye can sort 150 recyclable items in 3 minutes.

time
(minutes)

items

based on the ratio shown in the double number line, how many recyclable items can faye sort in 4 minutes?

items

Explanation:

Step1: Find the unit rate (items per minute)

To find how many items Faye sorts per minute, we divide the number of items by the time. So, the rate is $\frac{150}{3}$ items per minute.
Calculating $\frac{150}{3} = 50$ items per minute.

Step2: Calculate items sorted in 4 minutes

Now that we know Faye sorts 50 items per minute, to find the number of items she sorts in 4 minutes, we multiply the rate by the time. So, $50\times4 = 200$.

Answer:

200