SOLUTION: A pool company has learned​ that, by pricing a newly released noodle at ​$3​, sales will reach 15,000 noodles per day during the summer. Raising the price to

Algebra.Com
Question 1067113:
A pool company has learned​ that, by pricing a newly released noodle at ​$3​,
sales will reach 15,000 noodles per day during the summer. Raising the price to ​$5 will cause the sales to fall to 13,000 noodles per day.​ [Hint: The line must pass through ​(3,15000​) and ​(5,13000).]
a. Assume that the relationship between sales price and number of noodles sold is linear and write an equation describing this relationship.
B. Predict the daily sales of noodles if the price is ​$3.50.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
slope is (13000-15000)/(5-3)=-2000/2=-1000
point slope formula: y-y1=m(x-x1), m slope and (x1,y1) a point
y-15000=-1000(x-3)
y-15000=-1000x+3000
y=-1000x+18000
when x=$3.50
y=-3500+18000=14,500 noodles predicted to be sold.

RELATED QUESTIONS

The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $4... (answered by josgarithmetic)
A company produces alarm clocks. During the regular​ workweek, the labor cost for... (answered by Alan3354,ikleyn)
A total of 290 people attended the highschool play. The admission prices were $11... (answered by ikleyn,greenestamps,Shin123)
The pool Entertainment company learned that by pricing a pool toy at GH¢10, local sales... (answered by Boreal)
The album The Best of​ Radiohead, by​ Radiohead, has a list price of... (answered by josmiceli)
I need a little help breaking down this type of problem, thank you in advance Suppose... (answered by josgarithmetic)
I have a problem that says that expanding: a * a^​3 + 3a^​2​​b + (answered by Fombitz)
I'm doing a problem online and it says that: a * a^​3 + 3a^​2​​b (answered by Theo)
Milena deposited ​$6 comma 000 in a certificate of deposit​ (CD) account that (answered by ikleyn)