Respuesta :

Answer:

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

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.

[tex]Rate \propto Time[/tex]

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:

[tex](y-y_1)=m(x-x_1)[/tex]

m = Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

As per information given , :

[tex](x_1,y_1) , (x_2,y_2) = (15,0.01) (25,0.015)[/tex]

[tex]m=\frac{0.015-0.01}{25-15}=\frac{0.005}{10}=0.0005[/tex]

[tex](y-0.01)=0.0005(x-15)[/tex]

[tex]y-0.001=0.0005x-0.0075[/tex]

[tex]y=0.0005x-0.0065[/tex]

x = temperature

y = metabolic rate

Now , put x = 20

[tex]y=0.0005\times 20-0.0065[/tex]

y = 0.0035

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