D. The projected population of a town can be modelled by the function P(t) = 1500(1.025) , where t is the time (in years) from now. The expected number of people that can be supplied with water using the local water supply is given by the function N(t) = 4200 + 45.2t. a) Use Desmos to graph d(t) = N(t) – P(t). State the positive x-intercept and interpret what this value means. Use Desmos to graph q(t) N(t) P(t) b) State the y-intercept and interpret what this value means. %3D c) What is the value of g(100)? Interpret what this value means.
D. The projected population of a town can be modelled by the function P(t) = 1500(1.025) , where t is the time (in years) from now. The expected number of people that can be supplied with water using the local water supply is given by the function N(t) = 4200 + 45.2t. a) Use Desmos to graph d(t) = N(t) – P(t). State the positive x-intercept and interpret what this value means. Use Desmos to graph q(t) N(t) P(t) b) State the y-intercept and interpret what this value means. %3D c) What is the value of g(100)? Interpret what this value means.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:10.
The projected population of a town can be modelled by the function P(t) = 1500(1.025) , where t is the
time (in years) from now. The expected number of people that can be supplied with water using the local
water supply is given by the function N(t) = 4200 + 45.2t.
a)
Use Desmos to graph d(t) = N(t) – P(t). State the positive x-intercept and interpret what this
value means.
Use Desmos to graph q(t)
N(t)
State the y-intercept and interpret what this value means.
P(t)
b)
What is the value of g(100)? Interpret what this value means.
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