A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 370. (a) Find an expression for the number of bacteria after t hours. P(t) = (b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.) P(4) | bacteria (c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.) P'(4) = | bacteria per hour (d) When will the population reach 10,000? (Round your answer to one decimal place.) ] hr
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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![A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 370.
(a) Find an expression for the number of bacteria after t hours.
P(t) =
(b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.)
P(4)
| bacteria
(c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)
P'(4) =
| bacteria per hour
(d) When will the population reach 10,000? (Round your answer to one decimal place.)
] hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F000f6f34-715b-4e68-bd85-174e9466ce05%2Fc6ec038c-4fd7-49ce-97bf-3764241c2daf%2Fnm70yes.png&w=3840&q=75)
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