What is the solution to the problem?
1 answer:
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Answer:
(B)
Step-by-step explanation:
we can use formula
where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values
there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get
A unit multiplier is a conversion factor of value 1 that we can use to convert quantities.
We want to convert 123 pounds per mile to ounces per centimeter.
First, we are going to express the quantity to convert as a fraction:
123 pounds per mile=
Next, we are going to find our multipliers:
- We know for our problem that there are 5,280 feet in 1 mile, so our first multiplier will be:
- We also know that there are 16 ounces in 1 pound, so our second multiplier will be:
- We know that there are 12 inches in 1 foot, so our third multiplier will be:
- We know that t<span>here are approximately 2.54 cm in 1 inch, so our fourth multiplier will be: </span>
Now we can put all our multipliers together:
We can conclude that the answer is 0.01
We want to convert 123 pounds per mile to ounces per centimeter.
First, we are going to express the quantity to convert as a fraction:
123 pounds per mile=
Next, we are going to find our multipliers:
- We know for our problem that there are 5,280 feet in 1 mile, so our first multiplier will be:
- We also know that there are 16 ounces in 1 pound, so our second multiplier will be:
- We know that there are 12 inches in 1 foot, so our third multiplier will be:
- We know that t<span>here are approximately 2.54 cm in 1 inch, so our fourth multiplier will be: </span>
Now we can put all our multipliers together:
We can conclude that the answer is 0.01