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A taxi ride for the airport to your hotel costs a flat fee of $10 the moment you sit in the back seat plus $0.75 each mile plus a tip of $5 to the driver at the end of the ride. Your hotel is 24 miles from the airport and you have $30 in your pocket. Do you have enough money to make it to your hotel in the taxi, including the tip? Declare what your variable represents, write the equation or inequality that models the situation, solve for the variable showing your steps, and answer the question.



Answer :

tomson1975

Greetings from Brasil...

We have 2 fixed fees:

→ $10 when you sit on the bench

→ $5 tip

So, fixed fees = $10 + $5 = $15


The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:

C = 0.75M + fees

C = 0.75M + 15

let

C = cost

M = mile(s)

for 24 miles, M = 24, then

C = 0.75M + 15

C = 0.75 · 24 + 15

C = 18 + 15

C = $33

With $30 it will not be possible to make this trip, as the total cost would be $33

One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.

We can rewrite the cost expression involving a variable for the tip:

C = 0.75M + T + 10

let T = tip

For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30

C = 0.75M + T + 10

30 = 0.75 · 24 + T + 10

30 = 18 + T + 10

30 - 18 - 10 = T

T = 2

Is it possible to do this ride if you pay only $2 tip

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