The histogram shows information about how 550 people travel to work. 404
35
30
25
Frequency density
20
15
10
5
0-
► Distance (miles)
0 5 10 15 20 25 30 35 40 45 50 55 60
a) How many people travel more than 30 miles to work?
b) 205 of the 550 people travel further than Sam. Estimate how far Sam travels.
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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

10.4 inches

step-by-step explanation:

2x2x2.6