Question

hows the weather up there? use the graph or linear model found by desmos to answer the following questions. a) what will be the temperature at altitudes 10,000 ft, 15,000 ft, 24,000 ft, and 30,000 ft. explain the process you used to get your answers. hint: (altitude is in 1000s of feet, so you need to be sure to enter the correct value for altitude. use your graph x - axis scale as a guide).

Explanation:

Step1: Determine the linear - model equation

Assume the linear model is of the form $y = mx + b$, where $y$ is the temperature, $x$ is the altitude (in 1000s of feet), $m$ is the slope, and $b$ is the y - intercept. We can find two points on the line from the graph, say $(0,y_1)$ and $(x_2,y_2)$. Then the slope $m=\frac{y_2 - y_1}{x_2 - 0}$. After finding $m$ and knowing that when $x = 0$, $y=b$, we get the equation.

Step2: Calculate temperature for given altitudes

For an altitude of 10000 ft ($x = 10$ since altitude is in 1000s of feet), substitute $x = 10$ into the equation $y=mx + b$. Similarly, for 15000 ft ($x = 15$), 24000 ft ($x = 24$), and 30000 ft ($x = 30$), substitute the respective values of $x$ into the equation to find the corresponding $y$ (temperature) values.

Answer:

The temperatures at 10000 ft, 15000 ft, 24000 ft, and 30000 ft are found by substituting $x = 10$, $x = 15$, $x = 24$, and $x = 30$ respectively into the linear - model equation $y=mx + b$ obtained from the graph. The actual values will depend on the specific linear model equation derived from the graph.