Question

an office administrator has an office supply budget $150. The office administrator will purchase folders, which are $2.15 each and notebooks, which are $4.60 each. which inequality represent the constrain on the number of folders f and notebook n the office administrator can purchase

Answer 1

If the price of each folder is $2.15, and the amount of folders is f, the total price paid for folders is the product of the unitary price by the amount bought.

$\text{price}1=2.15f$

Similarly, the price paid for notebooks is the unitary price of one notebook ($4.60) multiplied by the amount of notebooks (n).

$\text{price}2=4.6n$

Finally, the total cost of both products together is the sum of these products.

$\text{cost}=\text{price}1+\text{price}2=2.15f+4.6n$

The supply budget is $150, so the total cost needs to be lesser than or equal this value.

Therefore, we have that:

$\begin{gathered} \text{cost}\le150 \\ 2.15f+4.6n\le150 \end{gathered}$

So the correct option is B.