Question

Question 1 Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 35 Celsius. They also find that the temperature decreases by 7° Celsius for each kilometer you go up from the surface. Let I represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Part 1 of 2 (a) Write an equation in slope-intercept form relating T to H.​

Answer 1

The temperature T in relation to the height H above the surface of a distant planet is given by the equation T = -7H + 35, which is in the slope-intercept form of a linear equation.

Step-by-step explanation:

The student is asked to relate the temperature T in Celsius to the height H above the surface of a distant planet in kilometers, with a known starting temperature and a linear decrease in temperature per kilometer. To do this, we use the slope-intercept form of a linear equation, y = mx + b, where y is the temperature T, m is the rate of temperature decrease per kilometer (-7°C/km), and b is the initial surface temperature (35°C). Therefore, the equation relating T to H is T = -7H + 35.