Question
A line is plotted on a coordinate plane. The x-axis representing hours ranges from negative 1 to 10 in unit increments. The y-axis representing height in inches ranges from negative 1 to 10 in unit increments.
The graph represents the amount of rainfall, shown by a rain measuring device, over time as a storm is subsiding. What is the rate that the rain is falling?
(1 point)
The rain is falling at a rate of
inch(es) per hour.
Answers
GPT-4o mini
To calculate the rate of rainfall falling over time, we need to look at the slope of the line plotted on the graph. The slope of a line is calculated using the formula:
\[
\text{slope} = \frac{\Delta y}{\Delta x}
\]
Where:
- \(\Delta y\) is the change in the y-values (height in inches).
- \(\Delta x\) is the change in the x-values (time in hours).
To find the exact rate, we would need the coordinates of two specific points on the line. For example, if the line passes through the points \((x_1, y_1)\) and \((x_2, y_2)\), we can calculate:
\[
\Delta y = y_2 - y_1
\]
\[
\Delta x = x_2 - x_1
\]
Substituting these into the slope formula will give us the rate of rainfall in inches per hour.
Since exact coordinates or points on the graph are not provided in your question, I cannot compute a specific numerical answer. If you provide two points from the line, I can assist you in finding the precise rate.
\[
\text{slope} = \frac{\Delta y}{\Delta x}
\]
Where:
- \(\Delta y\) is the change in the y-values (height in inches).
- \(\Delta x\) is the change in the x-values (time in hours).
To find the exact rate, we would need the coordinates of two specific points on the line. For example, if the line passes through the points \((x_1, y_1)\) and \((x_2, y_2)\), we can calculate:
\[
\Delta y = y_2 - y_1
\]
\[
\Delta x = x_2 - x_1
\]
Substituting these into the slope formula will give us the rate of rainfall in inches per hour.
Since exact coordinates or points on the graph are not provided in your question, I cannot compute a specific numerical answer. If you provide two points from the line, I can assist you in finding the precise rate.