Answer:
More than 30 times
Explanation:
The charge for admission and skate rental = $4.75
The charge for admission only =$3.25
Let the number of times you go skating = x
• The total cost of skating ,without your own skate, x times =$4.75x
,• The total cost of skating ,with your own skate ,x times = $(45 +3.25x)
To justify owning your own skate:
The total cost of owning a skate must be less than the total cost of not owning one.
We thus have the inequality:
[tex]45+3.25x<4.75x[/tex]We solve the inequality for x.
[tex]\begin{gathered} 45<4.75x-3.25x \\ 45<1.5x \\ \frac{45}{1.5}<\frac{1.5x}{1.5} \\ 3030 \end{gathered}[/tex]We conclude that you must go skating more than 30 times to justify buying your own skates.
