Question

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled.

Answer 1

Full question:

Linear Functions: Taking a Taxi

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?

Answer:

Cannot go 5 miles having just $11

Step-by-step explanation:

Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that

1 mile = $4.75

And so to go x miles, we require $4.75x

Equation can therefore be modelled thus :

y=4.5x

Where y = total cost of transport in dollars

x= cost in dollars per mile

To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles

y=4.5*5

y= $22.5

Therefore we cannot go 5 miles just having $11