Question

Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58

Answer 1

(7, 64.33)

Explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

`y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.`

(a)Let x=7

Then: y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.