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# grew from 2035 ft squared to 2469 ft squared. what is the percent of increase

A median sized new single family home grew from 2035 ftto 2469 ft2. What is the percent of increase

### 2 Answers by Expert Tutors

John L. | Experienced Tutor Specializing in Adult Learners and Test PrepExperienced Tutor Specializing in Adult ...
4.9 4.9 (129 lesson ratings) (129)
1
Connor,
You can determine the percentage of increase ( or decrease) by setting up a simple proportion and then cross multiplying. The formula is:

difference between starting point and ending point/starting point = percentage/100 if you plug your numbers into this formula you would have:

434/2035 = x/100

you then cross multiply 2035x = 43400  ( you should be able to take it from here )

you then divide each side by 2035 to determine the value of x

you can use this method for any percentage of change problem

I hope this helps
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
0
2469 - 2035  =0 . 175779668 = 17.6 %
2469

Note:
Shifting decimal point twice to the right (multiplying by 100) , and % = 0.01 = 1/100 ( dividing by 100)