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andreev551 [17]
3 years ago
9

QUICK HELP: The population of the Tallahassee metropolitan area was 385,639 at the end of 2017 with a growth rate of 2.73%. Usin

g the exponential growth formula, y=b(1+r)^t, sketch the graph that represents the situation. Label the axes, y-intercept and the point that represents the projected population at the end of 2025.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

see the explanation

Step-by-step explanation:

Let

t ---> the number of years since 2017

y ---> the population of the Tallahassee metropolitan area

we have

y=b(1+r)^t

we have

b=385,639\ people ---> initial value or y-intercept (population for t=0)

r=2.73\%=2.73/100=0.0273

substitute the given values

y=385,639(1+0.0273)^t

y=385,639(1.0273)^t

For the year 2025

we have

t=2025-2017=8\ years

substitute in the formula

y=385,639(1.0273)^8

y=478,635\ people

using a graphing tool

The graph in the attached figure

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===========================================================

Work Shown:

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