Trina sells handmade vases for $24.50 each. Each vase costs her $4.25 to make, and she pays $162 for a booth at a craft fair where she can sell her vases. Write and solve and inequality to determine how many vases she must sell at the craft fair in order to make a profit.

9514 1404 393

  9 or more

Step-by-step explanation:

In order to make a profit, Trina must sell enough vases so that her revenue exceeds her costs.

Trina's cost is ...

  162 + 4.25v . . . . to make v vases

Trina's revenue is ...

  24.50v . . . . . . .  from selling v vases

To make a profit, she must have ...

  24.50v > 162 +4.25v

  20.25v > 162 . . . subtract 4.25

  v > 8 . . . . . . . . . . divide by 20.25

Trina must sell at least 9 vases in order to make a profit.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

5+2x=a

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