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CAT Question & Answer Key Resources Grade 10 Mathematics PT and CAT Master Course (Entered in Quill)

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The population, P of a certain bacteria in a petri dish over time t units is given below.

It is determined that the expression, \(P(t)=3\left(4\right)^{\frac{t}{2} } \) is the formula that could be used to determine the population of the bacteria at the time, t. You see that the procedure could be simplified to make it easier to calculate the bacteria's population. What is the simplified formula you came up with?

Resource: Question

Question Type: Multiple Choice - Single Answer

Standard(s):HSN.RN.A.1

Standard Description: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5

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