The demand equation illustrates the price of an item and how it relates to the demand of the item.
- The slope of the demand function is -1/2
- The equation of the demand function is:

- The price that maximizes her revenue is: Ghc 85
From the question, we have:


The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

The slope (m) is calculated using:

So, we have:



The equation of the demand is as follows:
The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).
Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).
So, the demand equation is:

Open the brackets to calculate the maximum revenue


Equate to 0

Differentiate with respect to x

Collect like terms

Divide by 100

So, the price at maximum revenue is:



In conclusion:
- The slope of the demand function is -1/2
- The equation of the demand function is:

- The price that maximizes her revenue is: Ghc 85
Read more about demand equations at:
brainly.com/question/21586143
Answer:
Half the age of Carlos four years ago is 2 years more than one-third his current age.
Step-by-step explanation:
We want to write a word problem for the equation.

Let x represent the present age of Carlos.
Four years ago, Carlos was x-4 years.
Half his age four years ago is ½(x-4)
Two years more than one-third his current age is ⅓x+2
Answer:

Step-by-step explanation:
