Math

QuestionHow many times does a heart beat in 80 years if it beats 72 times per minute? Include time conversion factors and units.

Studdy Solution

STEP 1

Assumptions1. The average human heart beats72 times per minute. The human lives to be80 years old3. There are60 minutes in an hour4. There are24 hours in a day5. There are365 days in a year6. The heart beats continuously throughout the lifetime

STEP 2

First, we need to find out how many minutes are in80 years. We can do this by multiplying the number of years by the number of days in a year, the number of hours in a day, and the number of minutes in an hour.
Minutesin80years=80yearstimes365days/yeartimes24hours/daytimes60minutes/hourMinutes\, in\,80\, years =80\, years \\times365\, days/year \\times24\, hours/day \\times60\, minutes/hour

STEP 3

Now, plug in the given values to calculate the number of minutes in80 years.
Minutesin80years=80times365times24times60Minutes\, in\,80\, years =80 \\times365 \\times24 \\times60

STEP 4

Calculate the number of minutes in80 years.
Minutesin80years=80times365times24times60=42,048,000minutesMinutes\, in\,80\, years =80 \\times365 \\times24 \\times60 =42,048,000\, minutes

STEP 5

Now that we have the total number of minutes in80 years, we can find out how many times the heart beats in this time. We can do this by multiplying the number of minutes by the average number of heartbeats per minute.
Totalheartbeats=Minutesin80yearstimesHeartbeats/minuteTotal\, heartbeats = Minutes\, in\,80\, years \\times Heartbeats/minute

STEP 6

Plug in the values for the number of minutes in80 years and the average number of heartbeats per minute to calculate the total number of heartbeats.
Totalheartbeats=42,048,000minutestimes72heartbeats/minuteTotal\, heartbeats =42,048,000\, minutes \\times72\, heartbeats/minute

STEP 7

Calculate the total number of heartbeats.
Totalheartbeats=42,048,000times72=3,027,456,000heartbeatsTotal\, heartbeats =42,048,000 \\times72 =3,027,456,000\, heartbeatsThe heart beats approximately3,027,456,000 times in a lifetime of80 years. The units of the answer are heartbeats.

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