Question

a. For the first company, express in words the amount the cab company
charges per ride and per mile.
b. Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did.
c. What do the x-intercept and y-intercept mean in the context of this problem?
Hint: What do you pay when you step into the cab?
FLAG DROP (1/9 MILE OR 37 SECONDS OR FRACTION THEREOF)
FOR EACH ADDITIONAL 1/9 MILE OR PART ($2.97 / PER MILE)
FOR EACH 37 SECONDS OF WAITING TIME AND/OR TRAFFIC
DELAYS ($32.11 / PER HOUR WAIT)
SURCHARGE FOR ALL TRIPS ORIGINATING AT LAX
MINIMUM FARE PER TRIP (GROUP) ORIGINATING AT LAX
(IN ADDITION TO THE $4.00 SURCHARGE

Answer 1

a. The cab company charges a flag drop fee of $4.00 for stepping into the cab. For each additional 1/9 mile or part thereof, they charge $2.97 per mile. They also charge $32.11 per hour of waiting time and/or traffic delays.

b. Let's write the equation in standard form: y = mx + b
In this context, the equation would represent the total cost (y) of a ride, depending on the distance traveled (x). The equation in standard form would be: y = 2.97x + 4

c. The x-intercept in this context would represent the distance at which the cost of the ride becomes $0. This would indicate that the cab ride is essentially free and has not yet started. The y-intercept represents the initial cost for stepping into the cab, which in this case is $4.00.

Answer 2

are you sure

Answer 3

Apologies for the confusion. Let me correct the answer.

a. The cab company charges a flag drop fee of $4.00, which is the initial cost for stepping into the cab. In addition to the flag drop fee, they charge $2.97 per mile for each additional 1/9 mile or part thereof. They also charge $32.11 per hour for waiting time and/or traffic delays.

b. Let's write the equation in slope-intercept form: y = mx + b. In this case, it would be more appropriate to choose point-slope form due to the given data. The equation would be y - 4 = 2.97x.

c. In this context, the x-intercept represents the distance at which the cost of the ride becomes $0. This point indicates that the ride is free, as there is no charge beyond that distance. The y-intercept represents the initial cost of stepping into the cab, which in this case is $4.00.