p(t)=31(2)2tThe equation models p, the amount of bacteria in colony-forming units in a bacteria culture after t hours of growth. Which of the following statements is the best interpretation of the ordered pair (2,496) ?
Q. p(t)=31(2)2tThe equation models p, the amount of bacteria in colony-forming units in a bacteria culture after t hours of growth. Which of the following statements is the best interpretation of the ordered pair (2,496) ?
Interpret Ordered Pair: To interpret the ordered pair (2,496), we need to understand that the first number represents the time in hours (t), and the second number represents the amount of bacteria in colony-forming units (p). We will check if the ordered pair (2,496) fits the model p(t)=31(2)2t.
Substitute into Model: Substitute t=2 into the model to see if p(2) equals 496.p(2)=31(2)(2∗2)p(2)=31(2)4p(2)=31∗16p(2)=496
Final Interpretation: Since p(2) equals 496, the ordered pair (2,496) means that after 2 hours of growth, there are 496 colony-forming units of bacteria in the culture.
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