Question

You run 12 laps in 4 minutes. Your friend runs 18 laps in 8 minutes. Are the rates equivalent?

Answer 1

Answer: The rates are not equivalent

Step-by-step explanation:

Firstly,You must identitify the ratio.
The ratio can be 12:4 and 18:8.

Now we must convert 4 minutes and minutes into seconds to make it easier for us to work with.
4 * 60 = 240

18 * 60 = 1080

Now the question is 12: 240 equavialent to 18: 1080.

Method A:

For 12:240 to get 1 lap :

we can divided 240/12 = 20.

1 lap takes 1/3 of a minute or 20seconds.

For 18:1080:

We divide 1080/18 = 60= 1 minute

12:240=20 seconds

18:1080= 60 seconds.

They are not equivalent.

Method B:Compare 12:240 to 18:1080 and divide by 2

if the ratio split 50/50,they are equavalent.

Add the seconds together,becuase that is the total time

1080+240= 1320 second.

12+ 18=20

Now the ratio is 30:1320

1 lap takes 1320 / 30 = 44seconds

12 laps * 44 = 528s

18laps * 44 = 792s

528s is not 792s.

Answer 2

Answer: The rates are not equivalent.

Step-by-step explanation: You have to find the unit rate. This means the number of laps per minute. To find this out you have to divide 12 by 4 which equals 3 and divide 18 by 8 which equals 2.25. Now we know the rates are not equivalent because your rate is 3 laps/minute and your friend's rate is 2.25 laps/minute.