1. Graphing Exponential Functions
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Find the ratio of the lawn mowed per hour by each of them.
C
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.a/b=a * 3/b * 3
a/b=a * 4/b * 4
Add fractions
LHS * 6/7L=RHS* 6/7L
Rearrange equation
a/c* b = a* b/c
Multiply fractions
Cancel out common factors
Multiply
Calculate quotient
Round to nearest integer