McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Graphing Exponential Functions
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Exercise 42 Page 234

Find the ratio of the lawn mowed per hour by each of them.

C

Practice makes perfect

Let L denote the lawn. Javier mows 12 of the lawn per hour and Tonya mows 11.5 of the lawn per hour. We want to find how many minutes it will take to mow the lawn when they work together. When they work together, they will mow the following amount per hour. L/2+ L/1.5

The time spent mowing the lawn will be the same, call it t. Then, we can write the following equation. L= ( L/2+ L/1.5)* t Now, we can solve for t.
L= (L/2+L/1.5) t
â–Ľ
Solve for t
L= (3L/6+L/1.5)t
L= (3L/6+4L/6)t
L= (7L/6)t
6/7=t
t=6/7
We have found that they finish mowing the lawn in 67 hours. We have to convert it to minutes. To do so, we will multiply it by a conversion factor. 60 minutes/hour Let's do it.
(6/7 hour ) * 60 minutes/hour
â–Ľ
Simplify
(6hour/7 ) * 60 minutes/hour
6hour * 60 minutes/7 * hour
6 * 60 minutes/7
360 minutes/7
51.42857 ... minutes
51 minutes
They finish it in 51 minutes. The correct option is C.