Question

A whale swims 200 miles in 5 days. Identify which equation could be used to find how many miles it swims in 16 days.(1 point)
Responses

y=200×16
y equals 200 times 16

y=40×16
y equals 40 times 16

y=200×16×5
y equals 200 times 16 times 5

200=16x

Answer 1

To find how many miles the whale swims in 16 days, we need to determine its rate of swimming first.

The whale swims 200 miles in 5 days, which gives us a rate of:

\[
\text{Rate} = \frac{200 \text{ miles}}{5 \text{ days}} = 40 \text{ miles per day}
\]

Now, to find out how far the whale swims in 16 days, we can use the rate we just calculated:

\[
\text{Distance} = \text{Rate} \times \text{Time} = 40 \text{ miles per day} \times 16 \text{ days}
\]

This results in:

\[
y = 40 \times 16
\]

So the correct equation to use is:

**y = 40 × 16** (this is the correct response).