One year ago, Clare was 4 feet 6 inches tall. Now Clare is 4 feet 10 inches tall. By what percentage did Clare’s height increase in the last year?

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Answer 1 · 2018-03-20T20:18:06

Clare's height increased by about 7.4% in the last year.

Convert both measurements to inches.
4 feet 6 inches = 54 inches
4 feet 10 inches = 58 inches

Formula for Percent of Increase:
#% of Increase = "Difference" / "Original" * 100#

#"58 - 54" / "54" * 100#

#"4" / "54" * 100#

#7.407407... %#

or about #7.4%#

Answer 2 · 2018-03-20T20:19:48

See a solution process below:

First, let's convert the measurements into inches:

#4"ft "6"in "= (4 xx 12)"in" + 6"in" = 48"in" + 6"in" = 54"in"#

#4"ft "10"in "= (4 xx 12)"in" + 10"in" = 48"in" + 10"in" = 58"in"#

Now, we can use this formula for calculating the percent change in a value between two points in time is:

#p = (N - O)/O * 100#

Where:

#p# is the percent change - what we are solving for in this problem.

#N# is the New Value - 58 inches in this problem.

#O# is the Old Value - 54 inches in this problem.

Substituting and solving for #p# gives:

#p = (58"in" - 54"in")/(54"in") * 100#

#p = (4color(red)(cancel(color(black)("in"))))/(54color(red)(cancel(color(black)("in")))) * 100#

#p = 400/54#

#p = 7.bar407#

Or

#7.bar407%# change