Question

If the metabolic rate of cockroaches at 15°C is 0.01 ml O2/hr and their metabolic rate at 25°C is 0.015 ml O2/hr. What is its metabolic rate at 20°C?

Answer 1

0.0035 mL of oxygen per hour is metabolic rate at 20°C at cockroach.

Step-by-step explanation:

• Metabolic rate of cockroaches at 15°C is 0.01 ml O2/h
• Metabolic rate of cockroaches at 25°C is 0.015 ml O2/hr

From the data we can see that metabolic rate of cockroach is in direct relation with temperature.

`Rate \propto Time`

On graph, with metabolic rate on y-axis and temperature on x axis straight line will obtained , and the equation of the line can be determined by the help of point slope:

`(y-y_1)=m(x-x_1)`

m = Slope of the line =
`(y_2-y_1)/(x_2-x_1)`

As per information given , :

`(x_1,y_1) , (x_2,y_2) = (15,0.01) (25,0.015)`

`m=(0.015-0.01)/(25-15)=(0.005)/(10)=0.0005`

`(y-0.01)=0.0005(x-15)`

`y-0.001=0.0005x-0.0075`

`y=0.0005x-0.0065`

x = temperature

y = metabolic rate

Now , put x = 20

`y=0.0005* 20-0.0065`

y = 0.0035

0.0035 mL of oxygen per hour is metabolic rate at 20°C at cockroach.