A particular type of cell quintuples in every hour. The function y=5^x can be used to find another number of cells after X hours if there is 1 hour. Identify a,b and if it is growth or decay

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Answer:

The given function is

[tex]y=5^{x}[/tex]

Notice that this is an exponential function with a positive base, which means is a growth function.

From the equation we know that [tex]a=5[/tex] and [tex]b=1[/tex], which are the base (rate) and exponent, respectively.

For 1 hours, we have

[tex]y=5^{1}[/tex]

Therefore, the first hour there are 5 cells.