Slope intercept form

Question

One NYC taxi company charges an initial fee plus $.50 for each minute of the ride. Tammy was in the taxi for 15 minutes. The cost was $10.50. Let x represent the number of minutes and ybrepresent the total cost of the taxinride.

A. Identify the slope and one ordered pair from the information given.

B. Find the equation of the line that fits this information. Show all work necessary to justify your answer.

Answer 1

General Equation

y = mx + b

m = slope = cost per minute = 0.5

x = number of minutes = 15

b = initial cost = TBD

y = total price = 10.50

A.) Slope = m = 0.5

One ordered pair = (x , y) = (15 , 10.50)

B)

With the given information

y = mx + b

10.50 = 0.5(15) + b

b = 10.50 - 7.50

b = 3

Thus equation is

y = 0.5x + 3