# Thread: Interpret the slope and the y-intercept in terms of the problem?

1. ## Interpret the slope and the y-intercept in terms of the problem?

A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week the profit was $11,328 when 1324 patrons attended. Another week 1529 patrons produced a profit of$13275.50.

I already found the formula and it is y = 9.5x - 1250

Question:
Interpret the slope and the y-intercept in terms of the problem.

Please help me with this. Do I just answer 9.5 is the slope and -1250 is the y-intercept? Or do I have to explain something more? Thank you.

2. Originally Posted by nox16

I already found the formula and it is y = 9.5x - 1250

Question:
Interpret the slope and the y-intercept in terms of the problem.

Please help me with this. Do I just answer 9.5 is the slope and -1250 is the y-intercept? Or do I have to explain something more? Thank you.
You need to explain these 2 inumbers in the context of the problem. For example the 1250 is the fixed running cost for the week. What do you think the 9.5 represents?

3. So 9.5 represents the price that each patrons pay when attending this theater?

4. Originally Posted by nox16
So 9.5 represents the price that each patrons pay when attending this theater?
Nice work..