The metabolic rate of an ectothermic organism increases with increasing temperature

Chapter 2, Problem 101

(choose chapter or problem)

The metabolic rate of an ectothermic organism increases with increasing temperature within a certain range. Experimental data for oxygen consumption C (in microliters per gram per hour) of a beetle at certain temperatures yielded the model

\(C=0.45 x^{2}-1.73 x+52.65,\ \ \ \ 10 \leq x \leq 25\)

where x is the air temperature (in degrees Celsius).

(a) Use a graphing utility to graph the consumption model over the specified domain.

(b) Use the graph to approximate the air temperature resulting in oxygen consumption of 150 microliters per gram per hour.

(c) When the temperature is increased from \(10^{\circ} \mathrm{C}\) to \(20^{\circ} \mathrm{C}\), the oxygen consumption will be increased by approximately what factor?

Text Transcription:

C=0.45x^2 - 1.73x + 52.65, 10 leq x leq 25

10 degrees C

20 degrees C