Question

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours.

Graph the function. (You do not need to submit the graph).

Use the graph to estimate when there will be about 550 bacteria in the culture.

Answer 1

hello?

Answer 2

About 2hrs and 20mins

Answer 3

can u explain in a other way

Answer 4

@ktnguyen

Answer 5

the function should be \(A(x)=35\times 3^x\)

Answer 6

solve the equation
\[550=35\times 3^x\] by first dividing by 35 to get
\[\frac{110}{7}=3^x\] then change of base to get
\[x=\frac{\ln(\frac{110}{7})}{\ln(3)}\]

Answer 7

i get about 2.5 so two and a half hours
if you have not discussed logarithms yet, take out a calculator and try \(35\times 3^x\) with various values for \(x\)
when you get to \(x=2.5\) you will see the result is about 550

Answer 8

thank u thank u