SOLUTION: # 1. Jane determines that her lawn contains an average of 3.8 grubs per square foot (ft2). If her rectangular lawn measures 60.4 ft by 80.2 ft, estimate the total number of grub

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: # 1. Jane determines that her lawn contains an average of 3.8 grubs per square foot (ft2). If her rectangular lawn measures 60.4 ft by 80.2 ft, estimate the total number of grub      Log On


   



Question 190362: # 1. Jane determines that her lawn contains an average of 3.8 grubs per square foot (ft2). If her rectangular lawn measures 60.4 ft by 80.2 ft, estimate the total number of grubs in her lawn

Answer by jim_thompson5910(35256) About Me  (Show Source):
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# 1
Q: Jane determines that her lawn contains an average of 3.8 grubs per square foot (ft2). If her rectangular lawn measures 60.4 ft by 80.2 ft, estimate the total number of grubs in her lawn.


A:

First, let's find the area of the rectangular lawn. To make things easy on ourselves, we're going to round 60.4 to the nearest whole number to get 60. Also, let's round 80.2 to the nearest integer to get 80. Now multiply these two dimensions to get

A=60%2A80=4800

So the area of the lawn is roughly 4,800 square feet

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Next, round the number of grubs per square foot to the nearest whole number to get 4 grubs per square foot. So if the lawn is only one square foot, then there will be about 4 grubs on the lawn. If the lawn is 2 square feet, then there are about 2*4=8 grubs on the lawn. Similarly, if the lawn is 3 square feet, then there are roughly 3*4=12 grubs on the lawn. This means that if the lawn is "x" square feet, then there are about 4x grubs on the lawn.


So this simply means that you multiply the area of the lawn by the number of grubs per square foot to get

4800%2A4=19200

So there are approximately 19,200 grubs on the lawn