A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?

(100, 6.7) and(80,10.2)
slope = (10.2-6.7)/(80-100)=-7/40
form y=mx+b
6.7= )-7/40)*100 +b
b= 6.7 +17.5
b= 24.2

equation:
#sold = (-7/40)x + 24.2 million where x is price per unit.
#(75)=(-7/40)*75+ 24.2
# (75)= 11.075 million

Can this problem be graphed and how?

Your work is correct

for graphing use :

horizontal axis x , x is price
vertical axis is p, p for players in millions

Use points (0, 24.2) and (80, 10.2)

Yes, this problem can be graphed using the given data points. To graph the data, you would have the price per unit on the x-axis and the number of MP3 players sold on the y-axis.

First, plot the points (100, 6.7) and (80, 10.2) on the graph. These points represent the price and quantity sold at each price point.

Next, you can draw a straight line connecting these two points on the graph. This line represents the relationship between price and quantity sold.

Now, using this line as a reference, you can estimate the number of MP3 players that would be sold at a price of $75. Draw a vertical line from the x-axis at the price of $75 and see where it intersects the line you drew. Then draw a horizontal line from the point of intersection to the y-axis. The value on the y-axis represents the estimated number of MP3 players sold at a price of $75.

In this case, based on the calculated equation, the estimated number of MP3 players sold at a price of $75 is 11.075 million.