SOLUTION: So I need help with a word problem. I am pretty sure that i have to write it in y=mx+b form but I'm having a lot of trouble. I've only gotten as far as solving for slope but thats

Question 239978: So I need help with a word problem. I am pretty sure that i have to write it in y=mx+b form but I'm having a lot of trouble. I've only gotten as far as solving for slope but thats about it. Here it is.
After being in business for a year, you discover that you are selling more boxes then you expected. you find that this is due to a larger base of customers. You find for the last several months you have consistently sold 325 boxes of markers at $23.50 per box. You continue to assume that if you charge $30 per box that you will sell 0 boxes. Use (23.5, 325) and (30,0) to find the new linear demand function.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since you have two ordered pairs, you need to use the two point form of the equation of a line:

Where

and

are your two given points, namely

and

Make the indicated substitutions and then do the arithmetic. In order to express this as a function, you need to put your result into slope-intercept form, namely

by solving for

John

RELATED QUESTIONS
I'm having trouble with this word problem: Kayla, the social director, has to decide... (answered by mananth)

I need to rewrite the equation so that y is a function of x but I do not know how to do... (answered by Theo)

I need help with the following word problem: An investment is worth $2736 in 1995. By... (answered by rothauserc)

Hi, I am studying for a quiz on hyperbolas and one of the problems I am doing is this:... (answered by stanbon)

parallel and perpendicular lines i need to put my answer into slope - intercept form,y=... (answered by MathLover1,lwsshak3)

i need help solving a chapter problem. its a word problem that many students have... (answered by rwm)

y=mx+b I am having a having a problem figuring out the run of the slope with a graph. If... (answered by oberobic)

I have been working a problem over and over for my online algebra class and I have also... (answered by jim_thompson5910)

I'm not sure if this is in the correct section, but I really need help as soon as... (answered by reviewermath)