calculusxy
  • calculusxy
A long distance phone call costs $10.00 for the first ten minutes and $0.75 for each additional thirty seconds. If Andre has $16.65, he can talk for (A) 13 minutes and 30 seconds (B) 14 minutes (C) 14 minutes and 30 seconds (D) 15 minutes (E) 17 minutes and 30 seconds
Mathematics
katieb
  • katieb
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calculusxy
  • calculusxy
jim_thompson5910
  • jim_thompson5910
were you able to set up the equation?
calculusxy
  • calculusxy
I have \[$10 + $0.75x = $16.65\] I am not sure if that's correct

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jim_thompson5910
  • jim_thompson5910
good, where x is the number of 30 second intervals (after the 10 minutes are used up)
jim_thompson5910
  • jim_thompson5910
solve for x to get x = ??
calculusxy
  • calculusxy
It's like a decimal that can be rounded to 8.87
jim_thompson5910
  • jim_thompson5910
let's make x a whole number so round that down to x = 8
jim_thompson5910
  • jim_thompson5910
we don't round up to x = 9 because then we'd go over budget
jim_thompson5910
  • jim_thompson5910
if x = 8, then he can talk an additional 8*30 = 240 seconds = 4 minutes
calculusxy
  • calculusxy
30 x 9 = 270 seconds
jim_thompson5910
  • jim_thompson5910
no, like I said, we can't bump up to 9 because we'd go over our budget
calculusxy
  • calculusxy
oh sorry
calculusxy
  • calculusxy
i meant to put 30 x 8
calculusxy
  • calculusxy
240 seconds / 60 seconds = 4 minutes 14 minutes
calculusxy
  • calculusxy
is that correct ?
jim_thompson5910
  • jim_thompson5910
yep, 14 minutes is the final answer
calculusxy
  • calculusxy
thank you!
jim_thompson5910
  • jim_thompson5910
no problem

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