A pool company has learned​ that, by pricing a newly released noodle at ​$4​, sales will reach 20,000 noodles per day during the summer. Raising the price to ​$7 will cause the sales to fall to 17,000 noodles per day.​ [Hint: The line must pass through ​(4​,20000​) and ​(7​,17000​).] 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 ​$.50.