f(t)=100(1.1)^{3t} Which of the following is an equivalent form of the function f in which the exponent is t ? Choose 1 answer: Choose 1 answer: (Choice A) f(t)=100(1.331)t A f(t)=100(1.331)t (Choice B) f(t)=100(3.3)t B f(t)=100(3.3)t (Choice C) f(t)=100(4.1)t C f(t)=100(4.1)t (Choice D) f(t)=300(1.1)t D f(t)=300(1.1)t
Q. f(t)=100(1.1)^{3t} Which of the following is an equivalent form of the function f in which the exponent is t ? Choose 1 answer: Choose 1 answer: (Choice A) f(t)=100(1.331)t A f(t)=100(1.331)t (Choice B) f(t)=100(3.3)t B f(t)=100(3.3)t (Choice C) f(t)=100(4.1)t C f(t)=100(4.1)t (Choice D) f(t)=300(1.1)t D f(t)=300(1.1)t
Given function rewrite: Given function is f(t)=100(1.1)3t.Reasoning: We need to rewrite the function so that the exponent is t.Calculation: f(t)=100((1.1)3)t.
Calculate base: Calculate (1.1)3.Reasoning: Simplify the base to find the equivalent form.Calculation: (1.1)3=1.1×1.1×1.1=1.331.
Substitute calculated value: Substitute 1.331 back into the function.Reasoning: Replace the base with the calculated value.Calculation: f(t)=100(1.331)t.
Compare with choices: Compare with the given choices.Reasoning: Check which choice matches f(t)=100(1.331)t.Calculation: Choice A is f(t)=100(1.331)t.
More problems from Compare linear and exponential growth