SOLUTION: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered tp$80, the company sells 10.2 million players per month.

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Question 197068This question is from textbook
: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered tp$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? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A consumer electronics company sells 6.7 million MP3 players per month at
a price of $100 apiece; when the price is lowered tp$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?
:
Assign the values as follows
x1 = 100; y1 = 6.7
x2 = 80; y2 = 10.2
;
Find the slope: m = %2810.2-6.7%29%2F%2880+-+100%29 = 3.5%2F%28-20%29 = -.175
:
Find the equation using point/slope formula: y - y1 = m(x - x1)
y - 6.7 = -.175(x - 100)
y - 6.7 = -.175x + 17.5
y = -.175x + 17.5 + 6.7
y = -.175x + 24.2
:
How many MP3 players can the company expect to sell per month at a price of $75?
y = -.175(75) + 24.2
y = -13.125 + 24.2
y = 11.075 million sold at $75