Mathematics: Asap, i will give brainlessly answer show work

its (0, 0) because the line goes through thex and y intercept...

Asap, i will give brainlessly answer show work

raquelqueengucci25

17.01.2022

C. $N(t)=150\cdot 3^t$

Step-by-step explanation:

You are given the exponential function n(t)=ab^t.

From the table, N(t)=150 at t=0, thus

$N(0)=a\cdot b^0\\ \\150=a\cdot 1\ [\text{ because }b^0=1]$

Also N(t)=450 at t=1, thus

$N(1)=a\cdot b^1=a\cdot b.$

Since a=150, substitute it into the second equation

$450=150\cdot b\\ \\b=\dfrac{450}{150}\\ \\b=3$

and the expression for the exponential function is

$N(t)=150\cdot 3^t$

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