Question

35 Points !

Answer 1

For this case we have to:

x: It is the variable that represents the quantity of paint bottles

y: It is the variable that represents the number of boxes of colored pencils

So, we have:

$2x + 3.50y$

If you can not spend more than $ 42 then we have:

$2x + 3.50y\leq42$

Then you can buy 10 boxes of colored pencils and 3 of paint bottles at a cost of $ 41

$2 (3) +3.50 (10)\\6 + 35 = 41$

You can buy 5 boxes of colored pencils and 12 of paint bottles at a cost of $

$2 (12) +3.50 (5)\\24 + 17.5 = 41.5$

You can buy 7 boxes of colored pencils and 8 of paint bottles at a cost of $

$2 (8) +3.50 (7)\\16 + 24.5 = 40.5$

Answer:

$2x + 3.50y\leq42$