contestada

The function f(t) = 2(2.25)^t models the growth of bacteria cells, where f(t) is the number of bacteria cells and t is time in days. After 10 days, approximately how many bacteria cells are there?

Respuesta :

Step 1

write out the function

[tex]\begin{gathered} f(t)=2(2.25)^t \\ \end{gathered}[/tex]

Step 2

for every input, an input produce unique output

t = 10days is the input

Step 3

substitute t = 10 in the function

[tex]\begin{gathered} f(t)=2(2.25)^{10} \\ =\text{ 2 }\times2.25^{10} \\ =\text{ 2 x 3325.25673} \\ =\text{ 6650.51} \\ =\text{ 6651} \end{gathered}[/tex]

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