Answer:
y = 1 + ¼x²
Explanation:
Given
One more than one-fourth the square of a number x is y
Required
Represent algebraically
We start by analysing the expression one after the other.
First, the two numbers to compare are represented by x and y.
Where y is the resulting number.
So, we start with y =;
Then we move backwards
- "the square of a number, x" can be represented with x²
- one-fourth "the square of a number, x".
The expression in quote has already been represented by x².
So, we can replace this expression with x².
This will give us: one-fourth of x²
One-fourth means ¼
Hence, one-fourth of x² = ¼ * x²
- "One more than" means 1 has to be added to the previous expression to give y.
In other words; 1 + ¼ * x²
Finally, we'll bring the expressions together to give
y = 1 + ¼ * x²
y = 1 + ¼x²
Hence, "One more than one-fourth the square of a number x is y" is represented in algebra by y = 1 + ¼x²