Use the REGRESSION feature on a graphing calculator.
-A strain of E-coli Beu-recA441 is placed into a petri dish at 30°Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law
Of uninhibited growth. The population is measured using an optical device in which the amount of light that
Passes through the petri dish is measured. Find the exponential equation in the form rm , where x i, where x s the hours of growth. Round to four decimal
Places.

Question

Use the REGRESSION feature on a graphing calculator.
-A strain of E-coli Beu-recA441 is placed into a petri dish at 30°Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law
Of uninhibited growth. The population is measured using an optical device in which the amount of light that
Passes through the petri dish is measured.  Find the exponential equation in the form rm  , where x i, where x s the hours of growth. Round to four decimal
Places.

Quizplus · Accepted Answer

Using the regression feature on a graphing calculator, we get the exponential equation in the form $y=ab^x$ as $y=0.0057(1.3002)^x$. Rearranging, we get $y=0.0057e^{0.2641x}$, which matches the form given in choice C. Therefore, the answer is C. Using the regression feature on a graphing calculator, we can input the data points and perform exponential regression to find the equation in the form r^x. The equation we get is y = 2.1239(1.4922)^x. Rounded to four decimal places, this becomes y = 2.1239(1.4922)^x. Therefore, the correct answer is choice C.

Use the REGRESSION Feature on a Graphing Calculator