The number of streetlights in a town is growing linearly. Four months ago (t = 0) there were 47 lights. Now (t = 4) there are 107 lights. If this trend continues, (a) Find an explicit formula for the number of lights in month t. Pt= lights. (b) How many months will it take to reach 211 lights? Round your answer to the nearest month. months.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The number of streetlights in a town is growing linearly.
Four months ago (t = 0) there were 47 lights. Now (t = 4)
there are 107 lights. If this trend continues,
(a) Find an explicit formula for the number of lights in
month t.
P₁ =
lights
(b) How many months will it take to reach 211 lights?
Round your answer to the nearest month.
months.
Transcribed Image Text:The number of streetlights in a town is growing linearly. Four months ago (t = 0) there were 47 lights. Now (t = 4) there are 107 lights. If this trend continues, (a) Find an explicit formula for the number of lights in month t. P₁ = lights (b) How many months will it take to reach 211 lights? Round your answer to the nearest month. months.
Expert Solution
Step 1

Given that:

Initially at t=0, the number of lights were, P0=47

Now at t=4, the number of lights are, P4=107

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