sarahandlill3
contestada

I'm confused... The cost in dollars of an n-mile trip with Supreme Taxi Service is given by 1.5+1.75n. 1.5 plus 1.75 n The cost of an n-mile trip using Town Taxi Service is given by 1.9+1.6n. 1.9 plus 1.6 n For rides between 1 and 10 miles, which service would you choose? Explain.

Respuesta :

the town taxi service would be cheapest because you choose a number 1-10 and plug it into N for both equations and see which taxi service is cheaper for miles 1-10 and than it will change for longer distance taxi rides and be the Supreme town taxi service!

The town taxi service is the answer

Hope this helped!!

altavistard

Compare the costs on both taxi services for rides of 1-10 miles. Which company's prices are generally lower for that range?

Let x = 1 mile.

Supreme: $1.50+$1.75(1) = $3.25; Town: $1.90 + $1.60(1) = $3.50

Next, let x = 10 miles:

Supreme: $1.50+$1.75(10) = $19.00; Town: $1.90 + $1.60(10) = $17.90

Sometimes Supreme is the cheaper option; sometimes Town is. At what # of miles are the charges the same?

Set the charge functions = to each other and solve for x:

$1.50+$1.75x = $1.90 + $1.60x

Combining like terms, we get:

$0.15x = $0.40, so that x = 2 2/3 miles.

Supreme is the cheaper, for trips of 1 - 2 2/3 miles; Town is the cheaper, for trips of 2 2/3 miles - 10 miles.

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