You want to go to laser tagging but would like to find out which place has the better deal laser flash charges an initial fee of $16 for gear and $4 per game laser storm charges an initial fee of $20 for gear and $3 per game let x represent the number of games and y represent the cost

The cost at both Laser Flash and Laser storm would be the same after 4 games

Step-by-step explanation:

Let the number of games be represented as x

Laser flash charges an initial fee of $16 for gear and $4 per game

For Laser flash , the Equation is:

$16 + $4 × x

y= 16 + 4x

Laser storm charges an initial fee of $20 for gear and $3 per game

$20 + $3 × x

y = 20 + 3x

Hence: Equating both costs to each other

Laser flash = Laser Storm

16 + 4x = 20 + 3x

Collect like terms

4x - 3x = 20 - 16

x = 4 games

The cost at both Laser Flash and Laser storm would be the same after 4 games

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?