Question 205039
Let HL = the cost of using Heavy Lifters for the move.
Let QM = the cost of using Quick Movers for the move.
These costs can be expressed by:
{{{HL = 80+35h}}} and...
{{{QM = 55h}}}
For 2 hours of work, substitute h = 2.
{{{HL = 80+35(2)}}}
{{{HL = 80+70}}}
{{{highlight(HL = 150)}}} dollars.
{{{QM = 55(2)}}}
{{{highlight_green(QM = 110)}}}dollars.
The Quick Movers provide a better deal for 2 hours of work!
For 15 hours of work, substitute h = 15.
{{{HL = 80+35(15)}}}
{{{HL = 80+525}}}
{{{highlight_green(HL = 605)}}}dollars.
{{{QM = 55(15)}}}
{{{highlight(QM = 825)}}}dollars.
The Heavy Lifters provide a better deal for 15 hours of work.
Quick Movers provide a better deal if they cost less, and this can be expressed as:
{{{QM < HL}}} Substitute the appropriate equations from above:
{{{55h < 80+35h}}} Solve for h. Subtract 35h from both sides.
{{{20h < 80}}} Divide both sides by 20.
{{{h < 4}}}
Quick Movers offer a better deal for less than 4 hours of work.