Question

❗️❗️❗️OFFERING LOTS OF POINTS❗️❗️❗️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 $5 will cause the sales to fall to 18,000 noodles per day. [Hint: The line must
pass through (4,20000) and (5,18000).]
a. Assume that the relationship between sales price and number of noodles sold is linear and write an equation
describing this relationship.
y=

Answer 1

y = -2000x + 28000

Explanation:

y = -2000x + 28000

Using the two points, we can find the slope. The slope is the change in y over the change in x

(4,20000) ( 5, 18000) The x values are the first number in each ordered pair 4, and 5. The y values are the second numbers in the ordered pairs 20000 and 18000. You find the change by subtracting them

`(18000 - 20000)/(5-4)` =
`(-2000)/(1)` = -2000.

-2000 is our slope or the m of the equation.

We now need to find the y intercept or the b of our equation.

We will use the slope of -2000 and the x of 4 and the y of 20000 from the point (4,20000)

y = mx + b

20000 = -2000(4) + b

20000 = -8000 + b Add 8000 to both sides

28000 = b

28000 is our y -intercept

y = -2000x + 28000