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41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.

41 The table shows a bacterial population y after a days Day x 0 1 2 3 4 Population y 5 35 245 1715 12005 a Write an exponential function that represents the po class=

Respuesta :

An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table is shown.

The exponential equation is given as

y = abˣ

Then at x = 1, y will be 35. Then we have

35 = ab ...1

Then at x = 2, y will be 245. Then we have

245 = ab² ...2

On solving equations 1 and 2. Then we have

a = 5 and b = 7

Then the exponential function will be

y = 5 (7)ˣ

Then the population after 5 days will be

y = 5 (7)⁵

y = 5 x 16807

y = 84035

More about the exponent link is given below.

https://brainly.com/question/5497425

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