Question

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected. Which function MOST accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?

Answer 1

The required relationship shown by the graph is the exponential relationship $n =2^t$ . Option a is correct,

Given that,

A graph has been shown, showing the data,  what is the relationship between the number of bacteria with time is to be determined.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Since the recorded value from the graph is
At, t = 1 ; n = 2
At t = 2 ; n = 4
At t = 3 ; n = 8
At t = 4 ; n = 16
At t = 5 : n = 32
Here the above data show the exponential relation between n and t with the base value 2 i.e. $n =2^t$

Thus, the required relationship shown by the graph is the exponential relationship of $n =2^t$ . Option a is correct,

Learn more about graphs here:

brainly.com/question/16608196

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