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Alexandra [31]
3 years ago
11

A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If t

he volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?
(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

b = 0.3

Step-by-step explanation:

Given

V = ab^t

See attachment for graph

From the graph

V = 20 when t = 0

This implies that:

V = ab^t

20 = ab^0

20 = a * 1

20 = a

a = 20

Also:

V = 4 when t = 1.5

So:

4 = ab^{1.5

Substitute 20 for a

4 = 20 * b^{1.5

Divide by 20

0.2 =b^{1.5

b^{1.5} = 0.2

Take 1.5th root of both sides

b = 0.34199518933

b = 0.3 --- approximated

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Step-by-step explanation:

Bayes Theorem:

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P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

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