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:
A. 200=16x
B. y= 40 x 16
C. y= 200 x 16
D. y= 200 x 16 x 5

Answer 1

To find how many miles the whale swims in 16 days, we first need to determine its average speed. The whale swims 200 miles in 5 days, so its average speed is:

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

Now, to find out how many miles it swims in 16 days, we can use the equation:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

Thus, the equation for the distance (y) the whale swims in 16 days (16) is:

\[
y = 40 \times 16
\]

This matches option B.

So, the correct response is **B. y = 40 x 16**.