Calculus 1 : Rate
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Example Questions
Example Question #1051 : Rate
The rate of change of the number of swamp things is proportional to the population. The population decreased by 99.93 percent between November 5th and 7th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where 
Since the population decreased by 99.93 percent between November 5th and 7th, we can solve for this constant of proportionality:
Example Question #1052 : Rate
The rate of change of the number of unspoiled pumpkins is proportional to the population. The population decreased by 88.4 percent between November 14th and 18th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population decreased by 88.4 percent between November 14th and 18th, we can solve for this constant of proportionality:
Example Question #1053 : Rate
The rate of change of the number of spooky ghosts is proportional to the population. The population decreased by 10.13 percent between November 1st and 2nd. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population decreased by 10.13 percent between November 1st and 2nd, we can solve for this constant of proportionality:
Example Question #1051 : Rate
The rate of change of the number of goblins is proportional to the population. The population increased from 120 to 2400 between October 10th and 13th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 120 to 2400 between October 10th and 13th, we can solve for this constant of proportionality:
Example Question #1055 : Rate
The rate of change of the number of witches is proportional to the population. The population increased from 14 to 4200 between October 9th and 11th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 14 to 4200 between October 9th and 11th, we can solve for this constant of proportionality:
Example Question #1056 : Rate
The rate of change of the number of spooky, scary skeletons is proportional to the population. The population increased from 13 to 13000 between October 25th and 30th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 13 to 13000 between October 25th and 30th, we can solve for this constant of proportionality:
Example Question #161 : How To Find Constant Of Proportionality Of Rate
The rate of change of the number of vampire (bats) is proportional to the population. The population increased from 70 to 3430 between October 2nd and 8th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 70 to 3430 between October 2nd and 8th, we can solve for this constant of proportionality:
Example Question #162 : How To Find Constant Of Proportionality Of Rate
The rate of change of the number of werewolves is proportional to the population. The population increased from 25 to 625 between October 3rd and 4th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 25 to 625 between October 3rd and 4th, we can solve for this constant of proportionality:
Example Question #163 : How To Find Constant Of Proportionality Of Rate
The rate of change of the number of friendly ghosts is proportional to the population. The population increased (desparingly) from 20 to 20000 between October 18th and 21st. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased (horrifyingly) from 20 to 20000 between October 18th and 21st, we can solve for this constant of proportionality:
Example Question #164 : How To Find Constant Of Proportionality Of Rate
The rate of change of the number of talking black cats is proportional to the population. The population increased from 13 to 260 between October 27th and 29th. What is the constant of proportionality in days-1?
We're told that the rate of change of the population is proportional to the population itself, meaning that this problem deals with exponential growth/decay. The population can be modeled thusly:
Where
Since the population increased from 13 to 260 between October 27th and 29th, we can solve for this constant of proportionality:
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