## One more than one- fourth the square of a number x is y​

Question

One more than one-
fourth the square of a
number x is y​

in progress 0
2 days 2021-10-12T08:54:24+00:00 1 Answer 0

y = 1 + ¼x²

Step-by-step 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.

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