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
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.