If a sprinkler waters 1 over 14 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
(5 points)
Group of answer choices
1 over 7 hour
4 hours
4 over 7 hour
7 hours
To water 1 over 14 of a lawn in 1 over 2 hour, we need to find the fraction that represents the amount of lawn watered per hour.
1 over 14 divided by 1 over 2 is equal to (1/14)/(1/2) which can be simplified to (1/14)*(2/1) = 2/14 = 1/7.
So the sprinkler waters 1 over 7 of the lawn per hour.
To find out how much time it will take to water the entire lawn, we can set up the following equation:
1 over 7 * x = 1, where x represents the time it takes to water the entire lawn.
Multiplying both sides of the equation by 7, we get:
x = 7.
Therefore, it will take 7 hours to water the entire lawn.
So, the correct answer is 7 hours.