Problema Solution

A pool company has learned​ that, by pricing a newly released noodle at ​$3 sales will reach 10,000 noodles per day during the summer. Raising the price to ​$7 will cause the sales to fall to 6,000 noodles per day.​ [Hint: The line must pass through ​(3​,10000​) and ​(7,60000).]

Assume that the relationship between sales price and number of noodles sold is linear and write an equation describing this relationship.

y=

Answer provided by our tutors

We need to find the equation of a line that passes through ​(3​,10000​) and ​(7,60000).

y - 60000 = ((60000 - 10000)/(7 - 3))(x - 7)

y - 60000 = 12500(x - 7)

y = 12500x - 27500