The cost to take a taxi from the airport is a function of the distance drivenA 5 mile taxi ride from the airport costs $14 The cost is $22 for a 10 mile ride

Question

Need to:

1) Define variables

2)write an equation in slope intercept form

3)identify the y intercept

4)identify the slope

5)graph the ewuation

Answer 1

 Cost is a function of Distance.

 

 C(d) = M*d + B where C(d) is the cost function, M is the slope, d is the distance (independent var) and B is the y-intercept

 

(5,14)

(10,22)

 

The slope is (22 - 14)/(10-5) = 8/5

 

B = C - M*d

   = 22 - (8/5)*10   <--- uses point (10,22) so C=22 when d=10

 

   = 22 - 16

 

   = 6

 

C(d) = (8/5)d + 6