Andrew participates in a 100-meter freestyle event at an international swimming competition. One lap of the race is 50 meters. Andrew swims 7/11 of a lap in 1/3 of a minute.
Andrew's unit rate for swimming is how many laps per minute ?

A: 1/11
B: 1 3/7
C:1 10/11
D:2 1/3

Respuesta :

the answer 
Andrew swims 7/11 of a lap in 1/3 of a minute means
v=7/11 : 1/3 =3 x 7 / 11= 21 /11

Andrew's unit rate of swimming is [tex]1\frac{10}{11} \ laps \ per \ minute[/tex]. The correct option is C:1 10/11

From the question,

Andrew swims 7/11 of a lap in 1/3 of a minute.

To determine Andrew's unit rate for swimming in laps per minute, we will divide the distance Andrew covers by the time spent to cover that distance.

Using the formula,

[tex]Rate =\frac{Distance}{Time}[/tex]

From the question

Distance = 7/11 lap

and

Time = 1/3 minute

Then,

[tex]Rate = \frac{7}{11} \div \frac{1}{3}[/tex]

[tex]Rate = \frac{7}{11} \times \frac{3}{1}[/tex]

[tex]Rate = \frac{21}{11}[/tex]

∴ [tex]Rate = 1\frac{10}{11} \ laps \ per \ minute[/tex]

Hence, Andrew's unit rate of swimming is [tex]1\frac{10}{11} \ laps \ per \ minute[/tex]. The correct option is C:1 10/11

Learn more here: https://brainly.com/question/14326764