Section 5.5 In Class Work Determining pertinent information from a two variable

Question

Section 5.5 In Class Work Determining pertinent information from a two variable equation. 1. The number of U.S travelers over the Thanksgiving weekend in 199 1 was approximately 25 9 milion and was increasing by about 1.1 million travelers per year The e uation that represents this situation is T = 1.1y + 25.9 where T represents the sotal number of U.S. travelers in millions, and y represents the year since 1991 a) Determine the ingut and output variable and represent therm using an ordered pair b) Determine whether the given equation represent aline·quation and eng-why or why not? c) is a line, state and interpret the rate af charge and the ordered pair for the vertical intercept' a) interpret (12, 39.1) in the context of the problem glven. Interpret (12, 39.1)inthe context of the problem given - JZ

Explanation / Answer

2. T = 0.06P

a) Tax T is the out put variable

b) Price p is theinput variable

c) Ordered pair would be (p, T)

d)Vertical ordered pair (0,0)

e)Horizontal ordered pair (0, 0)

It mean tax depend directly on price.At no price there is no tax.

3) V = x^3 + 7x^2 + 10x

a) x length of the box is input , Volume V is the output

b) It does not represent a line equation as it x has a degree greater than 1

c) If it is a line then V = x(x^2 +7x +10)

rate of change = x^2 +7x +10

d) (2, 56) It means with box of x=2 feet the volume of box would be 56 cubic feet.

e) if x= 3 Volume = 3^3 +7*9+10*3 = 120 cubic feet.

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