Question

Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. (50 pts)

Cab Fare Number of Miles = x, Total Fee = y
(2, $13.00)
(5, $17.50)
(7, $20.50)
(10, $25.00)
(15, $32.50)

What does the y-intercept mean in this situation?
A: For every additional mile the cab travels, the total fee increases by $10.00.
B: For every additional mile the cab travels, the total fee increases by $1.50.
C: When the cab travels 0 miles, the total fee will be $1.50.
D: When the cab travels 0 miles, the total fee will be $10.00.

Answer 1

B
This is a simple linear equation.
For example,y=ax +b.
Solution 1:The direct substitution method.
Let’s substitute the value X =2,5
We can get the system of equations,
13=2a+b.
17.5=5a+b
We can get a=1.5 b=10
So,we can get the answer B,
Why not choose D?
If we don’t take a taxi,we don’t have to pay.