Answered

valerie purchased x tubes of lipstick at $4 each and y bottles of nail polish at $2 each. she spents less than $12 not including tax. which point represents a reasonable number of lipsticks and bottles of nail polish that valerie purchased?

a) 2,3
b) 1,5
c) 1,3
d) 2,2



Answer :

this can be solved with an equation.

[tex]4x+2y< 12 [/tex] 

now, as far as I can tell this question was made multiple choice for a reason; just start to plug in numbers. So using the answers x is either equal to 1 or 2. lets try and solve the equation plugging 2 in. When you solve for this you end up with [tex] y<2 [/tex] none of your answers have one where y<2 so x must be 1. so lets solve for x=1.
you end up getting  [tex] y<4[/tex]

The only answer where x=1 and y<4 is C sos c is your answer. Hope this helped! :) 

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