In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.
Graph:
Graph Type:
What is the slope of the graph?
The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:
If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:
3) It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
Answer:
Show work in this space:
b) How far have you traveled after 4 hours?
Answer:
Show work in this space:
c) How far have you traveled after t hours? i.e. write a linear function that expresses the distance traveled, d, as a function of time, t.
Answer:
d) How far will you HAVE LEFT to travel to reach St. Louis after you have traveled 3 hours?
Answer:
Show work in this space:
e) How far will you HAVE LEFT to travel to reach St. Louis after you have traveled 4 hours?
Answer:
Show work in this space:
f) How far will you HAVE LEFT to travel to reach St. Louis after you have traveled t hours? i.e. write a linear function that expresses the distance to be traveled to reach St. Louis, s, as a function of time, t.
Answer:
The 5 pages long solution demonstrates how to use linear equations and apply the slope-intecept data.
- Plain text response
- Attached file(s):
- BM 104343.pdf
- BM 104343.doc
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- College Algebra: line equation - (See attached file for full problem description) I need the following questioned answered. In answering the questions I need the following: * an overview of what the problem is about, or an exact ...
- 19 algebra questions involving graphs, equations of a line, slope, intercept, word problems, etc. - See attached file for full problem description. Find the slope and y-intercept: 2x - 3y = 6 Write the equation of the line with given slope and y-intercept. Then graph the line: s ...
- Slope, Linear Equation - Find the slope for each line that has a slope x=5y Find an equation in the form y=ms +b (where possible) for each line. Through (3,-5) parallel to y= 4 Graph each linear equation defined as ...
- slope-intercepts - I need to know how to set this problem up and how to solve it step by step. I need to Find the slope intercept form of a linear equation when the line crosses the x-axis at x=2 and the yaxis at y=3
- Exponential and Logarithmic Functions - 1. An example of an exponential function is y=8^x. Convert this exponential function to a logarithmic function. Plot the graph of both the functions. 2. Graph these two functions • An expone ...
