Question

For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −75°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −5°C per hour.
Part 1 out of 3
Let t represent time in hours. Enter an inequality. Use the fact that the rate of change in temperature times the number of hours equals the final temperature.


The inequality is?

Answer 1

If t₀ is the initial temperature of the metal then after time t hours the temperature will be t₀-5t, which must not go below -75℃.
So t₀-5t≥-75.