Question

For a scientific Experiment, A physicist must make sure that the temperature of a metal at 0°C gets to no colder than -80°C. the physicist changes the metals temperature at a steady rate of -4°C per hour. Let t represent the temperature in degrees Celsius. Write an inequality. use the fact that the rate of change in temperature times the number of hours equals the final temperature.

Answer 1

- 4 h ≥ - 80

Explanation:

The temperature of the metal is 0°C and the gets to no colder than - 80°C.

If the temperature is decreasing at the rate of - 4°C per hour, then the temperature after h hours will be t = 0 + (- 4) h which will not be less than - 80°C.

So the inequality that models the situation is 0 + (- 4) h ≥ - 80

⇒ - 4 h ≥ - 80 (Answer)