Question

Wilson purchased a notebook for class for $5. He also purchased x pens for 1.50 each. Write the linear function to model Wilson's purchase.

Answer 1

`p=1.5x+5`

Explanation:

Let the total purchase be given as 'p' dollars.

Given:

Price of a notebook = $5

Price of a pen = $1.50

Number of pens purchased = 'x'

Number of notebooks purchased = 1

So, cost of 'x' pens can be obtained using unitary method and is given as the product of price per pen and number of pens.

So, price of 'x' pens = Price per pen
`*` Number of pens

Price of 'x' pens =
`1.50* x=1.5x`

Now, total purchase price will be equal to the sum of the price of a notebook and price of 'x' pens.

Therefore, the total purchase price is given as:

Total price = 1 notebook price + 'x' pens price

⇒
`p=5+1.5x\ or\ \\p=1.5x+5`