The graphs of f and g are shown in Figure A and B. Which model is a more harmful

Question

The graphs of f and g are shown in Figure A and B. Which model is a more harmful? Use concavity to explain your reasoning

47. Let M = f(t) and N = g(t) be the number of harmful bacteria A and B, respectively, at time t (measured in days). The graphs of f and g are shown in Figure A and B. Which model is a more harmful? Use concavity to explain your reasoning. 47) Figure A: Bacteria A 100 M = f(t) 10 t (days) Figure B: Bacteria B 100 101 t (days) (A) Bacteria A is more harmful (B) Bacteria B is more harmful

Explanation / Answer

In figure A the curve is increasing curve .By Observing its shape ( Using concavity curve). So bacteria is increasing very in t days ie, when t is increasing bacteria also increasing.

Where as in figure B the graph is falling ie decreasing depends on t.

Therefore Fifure A bacteria is more harmful than B

(Just we use concavity points and slope of curve)

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