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Victor's tennis club membership costs him 200 dollars per year and he has to pay an additional 3 dollars per hour on court rental fees. The town courts costs a flat fee or 6 dollars per hour to rent. 

 

a.    Write an equation that expresses victors total cost, cl, of playing h hours of tennis in a given year at his tennis club. 

b.    Write an equation that expresses victors total cost, t, of playing h hours of tennis in a given year at town courts. 

c.     For how many hours of tennis should victor play so it is worth to keep his membership at his tennis club?

d.     Draw a graph of victors average cost of playing tennis per hour.

 Jul 14, 2021
 #1
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I  know  a  few

 

a.    t =   200  +  3h

 

b .       Since  we  don't  know  the  flat fee, the   total  cost  is   t  = 6h  

 

c.     We  can solve this

 

200  +  3h  <  6h

200 < 3h

h  >   200 / 3     =   about  67  hours

 

 

d.   Average  cost  per  hour  (at  the tennis club)  =    (200 + 3h)  / h

 

Here's  the graph  (I've substituted  x  for  h, but it's the same  graph )

 

https://www.desmos.com/calculator/ojdu2a77xa

 

 

cool cool cool

 Jul 14, 2021
 #2
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thanks :D, have a great day

Guest Jul 14, 2021

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