Question

It costs $22 to get a pass at a ski report, plus $5.50 each hour to rent skis. Another ski resort charges $18 for a pass and $7.20 per hour to rent skis. Find the number of hours for which the costs are the same. Round your answer to the nearest half hour.

Answer 1

set the equation for each ski resort.
ski resort 1: 5.50x +22
ski resort 2: 7.20x +18
(x represents the number of hours)
set the equations equal to find when the costs are the same
5.50x+22=7.20x+18
solve for x (subtract 5.50x from both sides, subtract 18 from both sides)
4=1.7x (divide by 1.7)
2.4=x
in 2 and a half hours the cost would be the same