The price of a sweater went up 20% since last year.If last year's price was x what is this year's price in terms of x?

please explain how you got 1.2x

1.2x

The price this year is 100% plus 20% higher than last year.

120% = 1.2

Well, well, well, looks like that sweater's feeling extra fancy this year! If the price went up by 20% since last year, we can calculate this year's price by adding 20% of x to x. So, this year's price is x + 0.2x, or simply 1.2x. Voila, you've got your answer! Keep those stylish sweaters warm!

To find this year's price in terms of x, we first need to calculate the 20% increase from last year's price.

Let's start by calculating the amount of the 20% increase. The increase is 20% of x, which can be expressed as:

Increase = 20% * x

To calculate the 20% of x, we can convert 20% to a decimal by dividing it by 100:

Increase = (20/100) * x

Simplifying the equation:

Increase = 0.2 * x

So, the increase in the price of the sweater since last year is 0.2x.

To find this year's price, we need to add the increase to last year's price:

This year's price = Last year's price + Increase
= x + 0.2x
= 1.2x

Therefore, this year's price in terms of x is 1.2x.