The population of bacteria in a petri dish is growing at a rate of 0.8t^3 + 3.5 thousand per hour. find the total increase in bacteria during the first 2 hours.

bacterias in the initial two hours

Step-by-step explanation:

the growing rate is given by the ecuation

thousand per hour

for t=2 we have

thousand

bacterias

In two hours we have 9900 bacterias

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places