Scientists are studying the temperature on a distant planet. Let y represent the temperature (in degrees Celsius). Let x represent the height above the surface (in kilometers). Suppose that x and y are related by the equation -5x+46=y
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the temperature change for each kilometer we go up from the surface?
What is the temperature on the surface of the planet?
The temperature change for each kilometer we go up from the surface can be found by taking the derivative of the equation -5x + 46 = y with respect to x. This gives us -5, which means that the temperature decreases by 5 degrees Celsius for every kilometer we go up from the surface.
To find the temperature on the surface of the planet, we can plug in x = 0 into the equation. This gives us y = -5(0) + 46 = 46 degrees Celsius. So, the temperature on the surface of the planet is 46 degrees Celsius.