SOLUTION: This is a word step equation. I'll type it down. Renting in-line skates and safety equipment costs 3.50 per hr. Renting ONLY safety equipment costs 1.50 an hour. You can buy used i

Question 1097858: This is a word step equation. I'll type it down. Renting in-line skates and safety equipment costs 3.50 per hr. Renting ONLY safety equipment costs 1.50 an hour. You can buy used in-line skates from your friend for $40 OR you can rent some. Either way, you must rent safety equipment. How many hour smust you skate for the cost of renting skates be more than not renting skates? (Hint: This inequality involves the variable on both sides. I started and this is where I got. 3.50h 40. From there I was thinking of many solutions. Please help me solve
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if you rent both then the cost is 3.50 * x, where x is the number of hours skate.

if you buy the skates, then the cost is 40 + 1.50 * x.

the 40 is up front one time fixed cost and the 2.50 per hour is the cost of renting the safety equipment.

you want to know when the cost of renting skates is more than the cost of buying skates.

your equation would be 3.50 * x > 40 + 1.50 * x

subtract 1.50 * x from both sides of this equation and you get 2.00 * x > 40

divide both sides of this equation (actually an inequality) and you get x > 20.

you would have to skate more than 20 hours for the cost of renting the skates to be more than the cost of buying the skates.

test this out with x < 20 and x = 20 and x > 20

i used x = 18, 20, and 22.

cost of renting skates versus cost of buying skates table is shown below:

hours buy skates rent skates cheaper 18 40 + 18 * 1.50 = 67 18 * 3.50 = 73 rent 20 40 + 20 * 1.50 = 70 20 * 3.50 = 70 both the same 22 40 + 22 * 1.50 = 73 22 * 3.50 = 77 buy

the cutoff is at 20 when the cost of buying and renting is the same.
any hours over that and the cost of buying the skates is less than renting both.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

This is a word step equation. I'll type it down. Renting in-line skates and safety equipment costs 3.50 per hr. Renting ONLY safety equipment costs 1.50 an hour. You can buy used in-line skates from your friend for $40 OR you can rent some. Either way, you must rent safety equipment. How many hour smust you skate for the cost of renting skates be more than not renting skates? (Hint: This inequality involves the variable on both sides. I started and this is where I got. 3.50h 40. From there I was thinking of many solutions. Please help me solve

See your OTHER post: Inequalities/1097861:
RELATED QUESTIONS
I would really be happy if you could give me this as soon as possible. Its due tommorrow (answered by MathTherapy)
You can buy used I line skates from your friend for 40$, or ou can rent some. Either... (answered by josmiceli,JBarnum)
The line models the cost of renting a buke. It's costs 2$ per hour plus a 2$ deposit.... (answered by erica65404)
The line models the cost of renting a bike. It costs $2 per hour plus a $2... (answered by josmiceli)
An ice skating rink charges $4.75 for admission and skate rental. If you bring your own... (answered by ikleyn)
This 3 problems are related...I need solution and explanation: i. John is the owner of (answered by rothauserc)
it costs 50 dollars plus 10 dollars per hour to rent a park pavillion. 1.write an... (answered by rfer)
Amanda and Dirk are renting in‐line skates for a day in the park. They both take... (answered by robertb)
Please help me with this problem: It costs $28.95 per day plus $0.15 per mile to rent (answered by Fombitz,gonzo)