The number of houses in a town has been growing according to the recursive rule Pt= Pt-1 + 134, with an initial number of Po= 585. (a) Calculate P₁ and P₂. P₁ houses P2= houses (b) Find an explicit formula for Pt. Pt= (c) Use the explicit formula to predict the number of houses in 10 years. P10= houses (d) When will the number of houses reach 1,500? Round your answer to the nearest tenth of a year. After years. Question Help: Video Calculator ?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**The number of houses in a town has been growing according to the recursive rule Pt = Pt–1 + 134, with an initial number of P₀ = 585.**

**(a) Calculate P₁ and P₂.**
```
P₁ = _______ houses

P₂ = _______ houses
```

**(b) Find an explicit formula for Pt.**
```
Pt = ___________
```

**(c) Use the explicit formula to predict the number of houses in 10 years.**
```
P₁₀ = _______ houses
```

**(d) When will the number of houses reach 1,500? Round your answer to the nearest tenth of a year.**
```
After ______ years.
```

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Transcribed Image Text:**The number of houses in a town has been growing according to the recursive rule Pt = Pt–1 + 134, with an initial number of P₀ = 585.** **(a) Calculate P₁ and P₂.** ``` P₁ = _______ houses P₂ = _______ houses ``` **(b) Find an explicit formula for Pt.** ``` Pt = ___________ ``` **(c) Use the explicit formula to predict the number of houses in 10 years.** ``` P₁₀ = _______ houses ``` **(d) When will the number of houses reach 1,500? Round your answer to the nearest tenth of a year.** ``` After ______ years. ``` **Question Help:** ![Video Icon](https://site.com/video-icon.png). **Calculator:** ![Calculator Icon](https://site.com/calculator-icon.png).
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