Question

Please help!

Scenario: A yellow cab charges $5 for passengers to get into the vehicle. They then charge $1.50 for each mile the cab drives.

X represents:
Y represents:

1. What is the y-intercept and what does it mean in the context of the problem?
2. What is the slope and what does it mean in the context of the problem?
3. I have $10 and I need to travel from FLI to a play at Lincon Center. Lincon center is 3.5 miles away. Can I afford to take a cab? Why or Why not?

Answer 1

X represents: The number of miles driven

Y represents: The cost for the cab ride

(1) The y-intercept is (0,5). In the context of the problem, (0,5) means that the passenger has to pay a fee of $5 to get in the cab. (0,5) is the initial value the passenger has to pay.

(2) The slope is 1.50. In the context of the problem, the slope 1.50 means that for every mile driven, the passenger has to pay $1.50.

(3) You cannot afford to take a cab.

Let y= the cost for the cab ride (in dollars) and let x= the number of miles driven.

If you substitute the number of miles it will take you to get to Lincon Center (3.5 miles):

`y = 1.5x+5`

`y = 1.5(3.5) + 5`

`y = 5.25 + 5`

`y = 10.25`

y, the cost for the cab ride, will be $10.25. $10.25 is greater than $10. Therefore, you cannot afford to take a cab.

Graph and table:

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