Question 150021
Let x=amount of monthly sales.


So the first option "Salary of $1950 per month, plus 10% of monthly sales" translates to the equation {{{y=0.1x+1950}}} and the second option "Salary of $2420 per month, plus 6% of monthly sales" translates to the equation {{{y=0.06x+2420}}}



So if you want to find out when option A is better than option B, simply set the left side of option A greater than the right side of option B like this:



{{{0.1x+1950>0.06x+2420}}}



{{{0.1x+1950-0.06x>2420}}} Subtract {{{0.06x}}} from both sides.



{{{0.1x-0.06x>2420-1950}}} Subtract 1950 from both sides.



{{{0.04x>2420-1950}}} Combine like terms on the left side.



{{{0.04x>470}}} Combine like terms on the right side.



{{{x>11750}}} Divide both sides by 0.04.



So if the amount of monthly sales is greater than $11,750, then option A is better than option B