Question

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+21 =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.(Click Photo For The Questions)

Answer 1

(a)-5°C

(b)21°C

Explanation:

• The temperature (in degrees Celsius) = y.

,

• The height (in kilometers) above the surface = x

The equation connecting x and y is given as:

`y=-5x+21`

(a)Compare the equation y=-5x+21 with the slope-intercept form:

`\begin{gathered} y=-5x+21 \\ y=mx+b \end{gathered}`

The slope, rate of change is -5.

Therefore, the temperature change for each kilometer we go up is -5°C.

(b)Temperature n the surface of the planet

On the surface of the planet, the height (above the surface), x = 0

`At\;x=0,y=21`

Therefore, the temperature on the surface of the planet is 21°C.