egracer
  • egracer
Sandi tracks her calories burned during water aerobics class. The number of calories she burns is expressed by the function c(t) = 350t, where t is the number of hours spent doing water aerobics. To burn more calories, Sandi wears ankle weights during her class. The number of calories she burns while wearing ankle weights is expressed by the function b(c) = 1.2c, where c is the number of calories burned doing water aerobics without weights. Which of the following composite functions expresses the calories, as a function of time, Sandi burns while doing water aerobics with ankle weights?
Mathematics
katieb
  • katieb
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egracer
  • egracer
the options are b[c(t)] = 351.2t b[c(t)] = 420t c[b(t)] = 351.2t c[b(t)] = 420t
egracer
  • egracer
Open study kind of sucks nobody ever helps me..
egracer
  • egracer
Is it C????? thats what i got through by calculations

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egracer
  • egracer
Vocaloid
  • Vocaloid
first find b(t) if b(c) = 1.2c, then what is b(t)?
egracer
  • egracer
b(t)=351.2 @Vocaloid
Vocaloid
  • Vocaloid
uh, not quite all we're doing is replacing "c" with "t" so, if b(c) is 1.2c, then what is b(t)?
Vocaloid
  • Vocaloid
hint: all you need to do is replace "c" with "t"
egracer
  • egracer
1.2t??
Vocaloid
  • Vocaloid
right now, we have b(t) = 1.2t now we need to find c(b(t)) if c(t) = 350t, then what is c(b(t))? hint: replace "t" with "1.2t"
egracer
  • egracer
350c(1.2t)
egracer
  • egracer
im not really sure I'm a little confused
Vocaloid
  • Vocaloid
c(t) = 350t c(b(t)) = c(1.2t) = ?
egracer
  • egracer
350(1.2)?
Vocaloid
  • Vocaloid
almost... if c(t) is 350 times t, then c(1.2t) is 350 times ____ fill in the blank
egracer
  • egracer
that is so confusing could you break it down some more its really confusign me
Vocaloid
  • Vocaloid
c(t) = 350*t c(1.2t) = 350*___ fill in the blank
egracer
  • egracer
350 times 1.2 thats all i can think of
Vocaloid
  • Vocaloid
almost, you're missing something important
egracer
  • egracer
the t?
Vocaloid
  • Vocaloid
yes!
egracer
  • egracer
so its 350*1.2t
Vocaloid
  • Vocaloid
yeah, and what do you get when you multiply?
egracer
  • egracer
420t
egracer
  • egracer
so would it be D?
Vocaloid
  • Vocaloid
ah, it should be B, my mistake b(c(t)) = 420t
egracer
  • egracer
thank you so much
egracer
  • egracer
EVERYONE B WAS CORRECT.

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