Question 159781
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RATE 1:
charge per session + equip't rental
$16/day + $8/day
RATE 2:
unlimited session + equip't rental
$450/yr + $6/day

Remember: x=no.of times (session) going to the gym
.
So equating RATE 1 & RATE 2:
{{{16x+8x=450+6x}}}
{{{24x-6x=450}}}
{{{18x=450}}} --------> {{{cross(18)/cross(18)=cross(450)25/cross(18)}}}
{{{x=25}}}, number of sessions to go should be MORE than this in order to justify of becoming a member.
Let's see why?
RATE 1: ={{{16*25+8*25}}}
= {{{400+200}}}
= $600
RATE 2: = {{{450+6*25}}}
= {{{450+150}}}
= {{{600}}}
You see, if go 25 sessions, either RATE is okay. But if you go over 25, then RATE 2 is a better choice for unlimited rock climbing. Try 30 sessions you'll see.
Thank you
Jojo</pre>