The metabolic rate of an ectothermic organism increases with increasing temperature within a certain range. Experimental data for the oxygen consumption C (in microliters per gram per hour) of a beetle at certain temperatures can be approximated by the model C = 0.45x2 − 1.65x + 50.75, 10 ≤ x ≤ 25 where x is the air temperature in degrees Celsius. (a) The oxygen consumption is 165 microliters per gram per hour. What is the air temperature (in °C)? (Round your answer to one decimal place.) °C (b) When the air temperature increases from 10°C to 23°C, by approximately what factor does the oxygen consumption increase? (Round your answer to one decimal place.)
The metabolic rate of an ectothermic organism increases with increasing temperature within a certain range. Experimental data for the oxygen consumption C (in microliters per gram per hour) of a beetle at certain temperatures can be approximated by the model C = 0.45x2 − 1.65x + 50.75, 10 ≤ x ≤ 25 where x is the air temperature in degrees Celsius. (a) The oxygen consumption is 165 microliters per gram per hour. What is the air temperature (in °C)? (Round your answer to one decimal place.) °C (b) When the air temperature increases from 10°C to 23°C, by approximately what factor does the oxygen consumption increase? (Round your answer to one decimal place.)
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The metabolic rate of an ectothermic organism increases with increasing temperature within a certain range. Experimental data for the oxygen consumption C (in microliters per gram per hour) of a beetle at certain temperatures can be approximated by the model
C = 0.45x2 − 1.65x + 50.75, 10 ≤ x ≤ 25
where x is the air temperature in degrees Celsius.
(a)
The oxygen consumption is 165 microliters per gram per hour. What is the air temperature (in °C)? (Round your answer to one decimal place.)
°C
(b)
When the air temperature increases from 10°C to 23°C, by approximately what factor does the oxygen consumption increase? (Round your answer to one decimal place.)
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