[SOLVED] Question about some site's question/answer solution with given function
This is the problem on the other site, though I have a question about how/why they did what they did(for the solution).
Here's the question:
"The projected sales volume of a video game cartridge is given by the function http://www.collegeboard.com/prod_ima...oice/SMC22.gif
where s is the number of cartridges sold, in thousands;
p is the price per cartridge, in dollars;
a is a constant.
If according to the projections, 100,000 cartridges are sold at $10 per cartridge, how many cartridges will be sold at $20 per cartridge?"
So, I am guessing we're trying to find "s", but instead of using "10 = p", we're using "20 = p".
Now, about that function.
I assumed "s(p) = 3000 / 2p + a", plugged in would be look like this:
100(10) = 3000 / 2(10) + a
That's not what they did for the solution, they did this
100 = 3000 / 2(10) + a
They took out the (p) on left side of the function.
Here's their entire solution btw.
Why did they not include the (p) on the left side of the question, to make it "100(10) = 3000 / 2(10) + a" but instead did "100 = 3000 / 2(10) + a", when they gave the function http://www.collegeboard.com/prod_ima...oice/SMC22.gif?
Error or mistake?
Or is that how you're supposed to do it?