Suppose the rate of growth of bacteria in a petri dish is given by q(t)=12 t, where t is given in hours and q(t) is given in millions of bacteria per hour. if a culture starts with 89,000,000 bacteria, find a function q(t) that gives the number of bacteria in the petri dish at any time t. how many bacteria are in the dish after 3 hours

a) Q(t) = 89 + 12t

b) Q(3) = 125  millions of bacteria

Step-by-step explanation:

a)

to write a function of the growth of bacteria, we need to consider the initial population and add it to the new bacteria. Also we need to consider that the result of the function is in millions of bacteria, so when we get a result, we express it in millions.

Data

Initial population = 89 just add it to the function given   12t

          Q(t) = 89 + 12t

b) Data     time = 3 h

      Q(3) = 89 + 12(3)    substitution

      Q(3) = 89 + 36       simplifying

      Q(3) = 125 millions of bacteria

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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