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A guide gives dogsled tours during the winter months. The guide charges one amount for the first hour of a tour and a different amount for each hour after the first. You paid $55 for a 2 hour dogsled tour. Your friend paid $70 for a 3 hour tour.

**a.** Explain why this situation can be modeled by a linear equation.

**b.** Write an equation that gives the cost (in dollars) of a dogsled tour as a function of the number of hours after the first hour of the tour.

GAMEMASTERX40 Apr 3, 2018

#1**+2 **

a )

Let the cost for the frst hour = M

Let the cost for each hour after that be N

So.... the cost you paid can be modeled as

M + 1N = 55

The cost your friend paid is

M + 2N = 70

Both of these are linear because we have equations in two variables that will result in straight lines when plotted on a graph

If we subtract the first equation from the second we get

N = $15......so....this must be the cost per hour after the first hour

Then the cost for the first hour is just M + 15 = 55 ⇒ M = $40

b) So....to express the total cost of a tour, C, we have

C = 40 + 15N whwere N is the number of hours after the first one

CPhill Apr 3, 2018