Asked by anonymous

A person's adult height can be guessed from knowing his/her shoe size by the equation H= 1.6s + 4.3 where H is the person's adult height in feet and s is the persons shoe size. this equation has a margin of error of ±3.5 inches.
for the problems below, the example of the shoe size used will be size 13.

write answers rounded to 3 decimal places.

A) write an absolute value inequality (tolerance) that describes the person's possible heights.

b) solve the inequality and find the range of heights possible

Answers

Answered by oobleck
You need |H - (1.6*13+4.3)| <= 3.5
|H - 25.1| <= 3.5
That is,
25.1 - 3.5 <= H <= 25.1 + 3.5
21.6 <= H <= 28.6

Now -- care to revise the units on H? Clearly those heights are unreasonable.
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