SOLUTION: 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

Question 31293: 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.
Graph the function, identify the graph of the function, and give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values.
Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
if customers per day are y and rate is $ x ,then we are given that y=1000 when x=2
for every 0.25 increase in x from $ 2 there is a loss of 50 customers ..that is a negative rate of 50/0.25=-200.
so eqn.is y=1000-200(x-2)..which is a linear eqn.representing a straight line
points for plotting graph are
x 2 3 4 5 6 7
y 1000 800 600 400 200 0
take a suitable scale of say 1 $ = 1 cm. or so on x axis and 200 customers = 1 cm. on y axis on a graph paper,
plot the above points and join them by a straight line.don’t draw the line below x=2 and above x=7.