Question

connect it
1 look back how far does the blue whale swim in 1 minute? how did you get your answer?
2 look ahead this table and graph represent the speed of a different blue whale over a period of 5 minutes.

time (min)	0	1	2	3	4	5
distance (mi)	0	0.4	0.8	1.2	1.6	2

a. what is the unit rate for this proportional relationship? what does the unit rate mean in this situation?

Explanation:

Step1: Recall unit - rate formula

The unit rate for a proportional relationship between distance $d$ and time $t$ is given by $\text{Unit Rate}=\frac{d}{t}$.

Step2: Select values from the table

From the table, when $t = 1$ minute, $d=0.4$ miles.

Step3: Calculate the unit rate

Substitute $d = 0.4$ miles and $t = 1$ minute into the formula: $\frac{0.4}{1}=0.4$ miles per minute.

Step4: Interpret the unit rate

The unit rate of 0.4 miles per minute means that the blue - whale swims 0.4 miles in 1 minute.

Answer:

The unit rate is 0.4 miles per minute. It means the blue whale swims 0.4 miles in 1 minute.