can anyone answer?

Question

2) In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.

a) Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.

Graph:







Graph Type: Line

What is the slope of the graph?

b) 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:
0 = (800 - 40x)(2.25 + .25x)
800 = 40x
x = 20 or
2.25 = -.25x
x = -9.

Show work in this space:




c) If the bus company sets

Answer 1

Dc/Dp = -40/0.25 so c= -160p+k
800=-360+k so k =1160
c=-360p+1160 where c are customers and p price
In this line graph the slope is -360
If p=0 c=1160