Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The number of bacteria in a lab experiment can be modeled by the function
P
(
t
)
=
43
(
3
)
2
t
+
3
.
P(t)=43(3)
2t+3
. Write an equivalent function of the form
P
(
t
)
=
a
b
t
.
P(t)=ab
t

The Number Of Bacteria In A Lab Experiment Can Be Modeled By The Function P T 43 3 2 T 3 Pt433 2t3 Write An Equivalent Function Of The Form P T A B T Ptab T class=

Sagot :

MrRoyal

Answer:

[tex]P(t) = 1161(9)^{t}[/tex]

Step-by-step explanation:

Given

[tex]P(t) = 43(3)^{2t+3}[/tex]

Required

Write in form of [tex]P(t) =ab^t[/tex]

[tex]P(t) = 43(3)^{2t+3}[/tex]

Apply law of indices:

[tex]P(t) = 43(3)^{2t}*3^3}[/tex]

Reorder

[tex]P(t) = 43*3^3*(3)^{2t}[/tex]

Express [tex]3^3[/tex] at 27

[tex]P(t) = 43*27*(3)^{2t}[/tex]

[tex]P(t) = 1161*(3)^{2t}[/tex]

Rewrite as:

[tex]P(t) = 1161*(3^2)^{t}[/tex]

Express [tex]3^2[/tex] as 9

[tex]P(t) = 1161*(9)^{t}[/tex]

[tex]P(t) = 1161(9)^{t}[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.