the surface 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 an equation representing the relationship between distance k and temperature t, we can use the given information that for every kilometer below the surface, the temperature increases by 10°C. Let's assume the surface temperature is 20°C. We can then write the equation as follows:
t = 20 + 10k
In this equation, t represents the temperature in °C, and k represents the distance below the surface in kilometers.
1b. To determine the slope and y-intercept of the equation, we can rewrite it in slope-intercept form (y = mx + b), where y is the dependent variable (t in this case), x is the independent variable (k in this case), m is the slope, and b is the y-intercept.
So, let's rearrange the equation:
t = 20 + 10k
This can be rewritten as:
t = 10k + 20
Comparing this equation with y = mx + b, we can identify the slope and y-intercept:
The slope (m) is the coefficient of k, which is 10.
The y-intercept (b) is the value of t when k is 0, which is 20.
Therefore, the slope of the equation is 10 and the y-intercept is 20.