Dr. silas studies a culture of bacteria under a microscope. the function b(t)=50(1.4)^t represents the number of bacteria t hours after dr. silas begins her study. (a) graph the exponential function. (b) is this exponential growth or decay? how do you know? (c) how many bacteria would there be 5 hours after dr. silas began her study?

A. we need the of a software in order for us to graph this function. i used ms excel as shown in the attached picture. just substitute values of t to determine the corresponding b values. then, plot b against t.b. the graph shows an exponential growth. you'll know this by looking at the trend. at t=0, there are 50 bacteria. as time goes on, it increases exponentially. thus, it is called an exponential growth.c. substitute t=5 to the equation: b = 50(1.4⁵) = 268.912there are around 269 bacteria.

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