A company that manufactures flash drives knows that the number of drives x it can sell each week is related to the price
1 answer:
Answer:
- $7.50
- $5625
Step-by-step explanation:
Use the given equation, and use your understanding of quadratic functions to reason about the solution.
R = xp
R = (1500 -100p)p . . . . . substitute the given expression for x
This is q quadratic function in p. It has zeros where p=0 and p=15. (These are the values that make the factors be zero.) We know this function has a maximum (because we're told to find it, and because p^2 has a negative coefficient). That maximum is the vertex of the parabola, which is located on the line of symmetry, halfway between the zeros.
The maximum revenue is obtained when p = (0+15)/2 = 7.5. That value of revenue is R = (1500 -100·7.5)(7.5) = 5625.
The price $7.50 will yield the maximum revenue, $5625.
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The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
____________________________
As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
_____________________________
All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)