Exponential decay occurs when 0 < r < 1If P = (625)(.8)t, then findP0 = _________P1 = _________P2 = _________P3 = _________P4 = _________By what percentage is the population decaying? ____

Given: P=6250.8t Calculate P0. Substitute 0 for t in the above equation. P0=6250.80=6251=625…

Answered: Exponential decay occurs when 0 < r < 1…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Exponential decay occurs when 0 < r < 1

If P = (625)(.8)^t, then find

P₀ = _________
P₁ = _________
P₂ = _________
P₃ = _________
P₄ = _________
By what percentage is the population decaying? ____

Expert Solution

Step 1

Given: $P = (625) {(0.8)}^{t}$

Calculate P₀.

Substitute 0 for t in the above equation.

$\begin{array}{rcl} P_{0} & = & (625) {(0.8)}^{0} \\ = & 625 (1) \\ = & 625 \end{array}$

Calculate P₁.

Substitute 1 for t in the above equation.

$\begin{array}{rcl} P_{1} & = & (625) {(0.8)}^{1} \\ = & 625 (0.8) \\ = & 500 \end{array}$

Calculate P₂.

Substitute 2 for t in the above equation.

$\begin{array}{rcl} P_{2} & = & (625) {(0.8)}^{2} \\ = & 625 (0.64) \\ = & 400 \end{array}$

Calculate P₃.

Substitute 3 for t in the above equation.

$\begin{array}{rcl} P_{3} & = & (625) {(0.8)}^{3} \\ = & 625 (0.512) \\ = & 320 \end{array}$

Calculate P₄.

Substitute 4 for t in the above equation.

$\begin{array}{rcl} P_{4} & = & (625) {(0.8)}^{4} \\ = & 625 (0.4096) \\ = & 256 \end{array}$

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Exponential decay occurs when 0 < r < 1 If P = (625)(.8)t, then find P0 = _________ P1 = _________ P2 = _________ P3 = _________ P4 = _________ By what percentage is the population decaying?

Exponential decay occurs when 0 < r < 1 If P = (625)(.8)t, then find P0 = _____ P1 = _ P2 = _ P3 = _ P4 = _____ By what percentage is the population decaying?