To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
1 answer:
The function that models exponential growth is: P(t) = P0*(1 + r)^t, where P0 = P(0) is the initial value of P r is the growth rate as a decimal In our case we have: P(0) = 2800 r = 0.035 or 3.5% P(t) = 2800*(1 + 0.035)^t P(t) = 2800*(1.035)^t The same exponential function written using y and t is: y = 2800*1.035^t. Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
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