the serface of our earth is 20'c for every km, k below the surface the tempature increses by 10'c. let t represent the tempature in 'c
1a write an equation that represent the relationship between disatnce k and t tempature
1b. what is the slope and and y-intercept
1a. To write the equation that represents the relationship between distance k and temperature t, we need to consider that the temperature increases by 10°C for every kilometer below the surface. We also know that the surface temperature is 20°C. Therefore, we can express the equation as:
t = 20 - 10k
In this equation, t represents the temperature in °C, and k represents the distance in kilometers below the surface.
1b. In the equation t = 20 - 10k, the slope represents the rate of change of temperature with respect to the distance. Since there is a constant decrease of 10°C for every kilometer, the slope of the equation is -10. The y-intercept represents the temperature at the surface, which is given as 20°C. Therefore, the y-intercept of the equation is 20.