Lesson 4a - Geometry Properties of Linear Functions

Section 1.5 #6 Match Lines with formulas

f(x) = 20 + 2x Graph B
g(x) = 20 + 4x Graph A
h(x) = 2x - 30 Graph C
u(x) = 60 - x Graph D
v(x) = 60 - 2x Graph E

Section 1.5 #8 Sketch y = 3 and x = 3

Section 1.5 #10 Perpendicular slopes from equations.

Lines are perpendicular since slope of one, is the negative reciprocal of the other m1 = 4

Section 1.5 #15 Equation of a line given the equation of another and a point, P (6, 5) .

(a) Equation of a line parallel to above and includes P.

m = - 2/3 and point-slope equation is

(b) Equation perpendicular to above and includes P.

m = -(-3/2)= 1.5 and point-slope equation is

(c) Graph the 3 equations

Section 1.5 #25 Cost for 3 companies - 3 Linear formulas:

(a)

(b) Graphs of each function

(c) The slope is the charge for each miles and the y-intercept is the fixed cost for renting for a day.

(d) Company A is cheapest if drive less than 150 miles, Company B is cheapest of drive between 150 and 350 miles, Company C is cheapest of drive more than 350 miles.

Section 1.5 #24 Compare 2 Linear Functions.

Frigbox:

Arctic Air:

(a) They both equal the same value when

(b) Values of both in 20 years:

The values in 20 years are meaningless so model no longer apply.