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
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.
are you sure
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.
a. To determine the amount the cab company charges per ride, we need to consider several factors. Firstly, there is a flag drop charge of $4.00 for each trip originating at LAX. Additionally, there is a surcharge for all trips originating at LAX. Apart from these charges, the cab company charges $2.97 per mile for each additional 1/9 mile or part thereof. Moreover, there is a charge of $32.11 per hour of waiting time and/or traffic delays.
b. To write an equation in the desired form, we need to consider the variables involved and how they relate to each other. In this case, we can write an equation in slope-intercept form, which is y = mx + b, where y represents the total fare, x represents the distance traveled in miles, and b represents the initial charges such as flag drop and surcharges.
The equation can be written as:
y = 2.97x + 4.00 + surcharge + waiting time charges
In this form, the slope (m) represents the charge per mile, and the y-intercept (b) represents the initial charges for each trip.
c. In the context of this problem:
- The x-intercept represents the distance at which the fare becomes zero. This means that when x (the distance traveled) is equal to the x-intercept, the fare will be zero, indicating that there will be no charge for traveling that distance.
- The y-intercept represents the initial charges that need to be paid when stepping into the cab, irrespective of the distance traveled. It includes the flag drop charge, surcharges, and any waiting time charges.
It's important to note that the exact values for the x-intercept and y-intercept cannot be determined without more specific information. They would depend on the specific values for the surcharge, waiting time charges, and any other additional charges mentioned in the problem.