Question

Jonathan's parents told him that for every 2 hours of homework or reading he completes, he would be able to play 30 minutes of video games. His friend Lucas's

parents told their son that he could play 1.5 hours for 5 hours of homework or reading time he completes. What is the unit rate for each boy? You must label both unit rates. ​

Answer 1

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games)

Explanation:

The unit rate is the rate per unit of a quantity, that is the rate at which the denominator has been made a unit or one

The given parameters are;

The number of hours of homework or reading Jonathan needs to do for his parents to allow him to play video games for 30 minutes = 2 hours

The number of hours of homework or reading Lucas needs to do for his parents to allow him to play video games for 30 minutes = 1.5 hours

We note that 30 minutes = 0.5 hours

For Jonathan we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (2 hours)/(0.5 hours) = 4 hours of reading or homework per hour of paying video games

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

For Lucas we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (1.5 hours)/(0.5 hours) = 3 hours of reading or homework per hour of paying video games

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games).