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Curt just drank a cup of coffee to help him stay awake. The coffee had 130 milligrams of caffeine in it. If his body processes 7% of the caffeine every hour, how much will be left in 4 hours?

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Respuesta :

coolstick
Since we have to multiply it by 0.07 4 times (for each hour), we have 130 * 7^4

Answer:

After 4 hours, there will 91.31 miligrams of caffeine within his body.

Step-by-step explanation:

Givens

  • Curt drank 130 miligrams of caffeine.
  • His body processes 7% of caffeine everyhour.

If Curt's body processes 7% every hour, we just need to that 7% after each hour. Also, we know that 7% equals 0.07.

First hour.

[tex]0.07(130)=9.1ml[/tex]

The first hour, his body processed 9.1 miligrams, so it remains

[tex]130-9.1=120.9ml[/tex]

There's still 120.9 miligrams in his body.

Second hour.

[tex]0.07(120.9)=8.46ml[/tex]

[tex]120.9-8.46=112.44ml[/tex]

Third hour.

[tex]0.07(112.44)=7.87ml[/tex]

[tex]112.44-7.81=104.63ml[/tex]

Fourth hout.

[tex]0.07(104.63)=7.32ml[/tex]

[tex]104.63-7.32=97.31ml[/tex]

Therefore, after 4 hours, there will 91.31 miligrams of caffeine within his body.

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