Question

Patrick bought his recliner on sale for 3x + 1 dollar. To replace his recliner now, ir would cost 5x - 3 dollars. Write an expression that represents the difference in the price of the replacement recliner and the original recliner.

Answer 1

So we are finding the difference btween 5x-3 and 3x+1.
(5x-3)-(3x+1)

Let's subtract the x's first.
5x-3x=2x
Now the numbers.
-3-1=-4
Now, we need to put 2x and -4 together.

The expression would be 2x-4.

Answer 2

Answer: Our required expression is
`2x-4`

Explanation:

Since we have given that

Function that represents he bought his recliner on sale is given by

`f(x)=3x+1`

To replace his recliner now, the cost function is given by

`g(x)=5x-3`

So, the difference in the price of the replacement recliner and the original recliner would be

`f(x)-g(x)\\\\=5x-3-(3x+1)\\\\=5x-3-3x-1\\\\=2x-4`

Hence, our required expression is
`2x-4`