A poll shows that a local politician has 200,000 supporters. After an unpopular decision, it is projected that the number of supporters will decrease at a rate of 8.6% each week. Which inequality could be used to solve for x, the number of weeks after which the politician has fewe than 50,000 supporters? 0.914 < 50000 0.914 <0.25 0.25 < 50000 0.25 <0.914

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Growth Measure Math | welcome, ESTEPHANY VALIENTE
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A poll shows that a local politician has 200,000 supporters. After an unpopular decision, it is projected that the number of supporters will
decrease at a rate of 8.6% each week. Which inequality could be used to solve for x, the number of weeks after which the politician has fewer
than 50,000 supporters?
0.914 <50000
0.914 <0.25
0.25 < 50000
0.25 <0.914
Item Code: 374585262
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Transcribed Image Text:Growth Measure Math | welcome, ESTEPHANY VALIENTE G) Save & Ex A poll shows that a local politician has 200,000 supporters. After an unpopular decision, it is projected that the number of supporters will decrease at a rate of 8.6% each week. Which inequality could be used to solve for x, the number of weeks after which the politician has fewer than 50,000 supporters? 0.914 <50000 0.914 <0.25 0.25 < 50000 0.25 <0.914 Item Code: 374585262 O of 3 Questions O Type here to search O do) 5:38 PM 2/11/2021 10 10 144 prtse dolete end @ %23 %24 & 2 3 4 6 8 - badkspara
Expert Solution
Step 1

Introduction:

Suppose the initial population is P0, and the population increases at a constant rate of r% per unit of time. Then, after x units of time, the population, P (x) can be expressed in terms of x as:

P (x) = P0 (1 – r/100)x.

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