EXAMPLE 5 Making a Linear Model from a Slope In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot- tom left corner. The red line in the figure is the edge of the trim board of the staircase. y (in.) A 40 (36, 32) (a) Find a linear function H that models the height of the trim board above the floor. 32 24 +(12, 16) (b) If the space available to build a staircase is 11 ft wide, how high does the stair- case reach? 16 12 24 36 48 60 x (in.) FIGURE 4 Slope of a staircase

EXAMPLE 5 Making a Linear Model from a Slope In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot- tom left corner. The red line in the figure is the edge of the trim board of the staircase. y (in.) A 40 (36, 32) (a) Find a linear function H that models the height of the trim board above the floor. 32 24 +(12, 16) (b) If the space available to build a staircase is 11 ft wide, how high does the stair- case reach? 16 12 24 36 48 60 x (in.) FIGURE 4 Slope of a staircase

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

EXAMPLE 5
Making a Linear Model from a Slope
In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot-
tom left corner. The red line in the figure is the edge of the trim board of the staircase.
y (in.) A
40
(36, 32)
(a) Find a linear function H that models the height of the trim board above the floor.
32
24 +(12, 16)
(b) If the space available to build a staircase is 11 ft wide, how high does the stair-
case reach?
16
12 24 36 48 60 x (in.)
FIGURE 4 Slope of a staircase

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