Question 295525
a) Just plug in x=60 to get: {{{C(60)=(1.5*60)/(100-60)=90/40=9/4=2.25}}}. So the cost is 2.25 million.


b) Since we want the cost to be 5 million, we let {{{C(x)=5}}} and plug it in to get {{{5=(1.5x)/(100-x)}}}. Now we solve for 'x':



{{{5=(1.5x)/(100-x)}}} Start with the given equation.



{{{5(100-x)=1.5x}}} Multiply both sides by 100-x.



{{{500-5x=1.5x}}} Distribute.



{{{500=1.5x+5x}}} Add 5x to both sides.



{{{500=6.5x}}} Combine like terms.



{{{500/6.5=x}}} Divide both sides by 6.5 to isolate 'x'.



{{{76.9230769=x}}} Divide



Now round to the nearest whole number to get {{{x=77}}}



So the percentage is 77% (to the nearest whole percentage)