Find the unit rate.
Brynn is mowing the lawn. If it has taken 12
hour to mow 23
of the lawn, how long will it take to mow the entire lawn?
(1 point)
Responses
3/4 of an hour
1/3 of an hour
1/6 of an hour
1 1/3 hours
To find the unit rate, we divide the amount of lawn mowed (23) by the time it took to mow that amount of lawn (12 hours).
Unit rate = 23/12
Simplifying this fraction, we can divide both numerator and denominator by their greatest common divisor, which is 1.
Unit rate = 23/12 = 1 11/12
Therefore, Brynn mows 1 11/12 of the lawn per hour.
To find how long it will take to mow the entire lawn, we can set up a proportion using the unit rate:
(1 11/12) / (1 hour) = (entire lawn) / (x hours)
Cross-multiplying, we get:
(1 11/12) * (x hours) = 1 * (entire lawn)
Simplifying the left side:
23/12 * x = entire lawn
To find the value of x, we need to divide both sides by 23/12:
x = (entire lawn) / (23/12)
Since the unit rate is given as 1 11/12, it will take 1 11/12 hours to mow the entire lawn.