Question

Matthew wants to sell laptops and smartphones. He wants to sell at least 12 devices and earn at least $4500.

Answer 1

Answer:

A. Matthew meets both of his goals.  

Step-by-step explanation:

Let laptops be represented by L

Let smartphones be represented by S

Matthew wants to sell at least 12 devices and earn at least $4500.

The equation first becomes: $L+S\geq 12$

He wants to earn $4500 by selling both products.

$425L+125S \geq 4500$

Now we have been given, that Matthew sells 9 laptops and 6 smartphones.

Lets check this:

Putting L = 9 and S = 6;

$9+6\geq 12$

=>$15\geq 12$   (condition fulfilled)

$425(9)+125(6) \geq 4500$

=> $3825+750\geq 4500$

=> $4575\geq 4500$    (condition fulfilled)

Therefore, option A is correct- Matthew meets both of his goals.

Answer 2

He sells 15 items  so he meets the goal L + S >= 12

Checking the other inequality 
425*9 + 125*6  =  $4575  so he achieves the second goal as well.

Answer is A.