The sum of two positive numbers is 100. Let one of the numbers be x and express the product P of the two numbers as a function of x.
x = first number
y = second number
x + y = 100
y = 100 - x
P = x * y
P = x * ( 100 - x )
P = 100 x - x ^ 2
To express the product P of the two numbers as a function of x, we need to use the given information that the sum of the two numbers is 100.
Let one of the numbers be x, and since the sum of the two numbers is 100, the other number can be represented as 100 - x.
The product P of two numbers can be calculated by multiplying the two numbers together. Therefore, we can express P as:
P = x * (100 - x)
Simplifying the expression:
P = 100x - x^2
Hence, the product P of the two numbers can be expressed as the function P(x) = 100x - x^2.