mr. moles burrow lies 5 meters below the ground. he started digging his way deeper into the ground…

mr. moles burrow lies 5 meters below the ground. he started digging his way deeper into the ground, descending 3 meters each minute. graph the relationship between mr. moles elevation relative to the ground (in meters) and time (in minutes).

mr. moles burrow lies 5 meters below the ground. he started digging his way deeper into the ground, descending 3 meters each minute. graph the relationship between mr. moles elevation relative to the ground (in meters) and time (in minutes).

Answer

Explanation:

Step1: Determine the linear - equation

The initial elevation of Mr. Mole is $y_0=- 5$ meters (below the ground, so negative). The rate of change (slope) $m=-3$ meters per minute (descending means negative slope). The linear - equation for elevation $y$ in terms of time $x$ is $y = mx + y_0$, so $y=-3x - 5$.

Step2: Find key points

When $x = 0$, $y=-3\times0 - 5=-5$. When $x = 5$, $y=-3\times5 - 5=-15 - 5=-20$.

Step3: Graph the line

Plot the points $(0, - 5)$ and $(5,-20)$ on the coordinate - plane where the $x$ - axis represents time (in minutes) and the $y$ - axis represents elevation (in meters). Then draw a straight line through these points. The line will have a negative slope and cross the $y$ - axis at $(0,-5)$.

Answer:

To graph, plot the point $(0, - 5)$ (initial position) and use the slope of $-3$ (for every 1 unit increase in $x$ (time), $y$ (elevation) decreases by 3 units) to find other points and draw a straight line.