Math Problem Statement
solve this
Solution
To solve the problem, we need to find the gradient of the line shown in the graph. The gradient (or slope) is calculated by the formula:
In this case:
- The -axis represents the "Distance (meters)".
- The -axis represents the "Time (seconds)".
Looking at the graph:
- The line starts at the point (0, 12) and ends at the point (5, 0).
Now, we calculate the gradient:
So, the gradient of the line is -2.4.
Do you want more details or have any questions?
Here are 5 related questions to expand your understanding:
- What does a negative gradient indicate about the motion of the object?
- How would the graph change if the object were moving faster?
- How can you find the y-intercept of a line from its equation?
- What does the area under the line represent in this context?
- How would the gradient change if the object started further away?
Tip: The steeper the line, the larger the magnitude of the gradient, indicating a faster change in the variable represented on the y-axis.
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Math Problem Analysis
Mathematical Concepts
Gradient
Slope
Coordinate Geometry
Formulas
Gradient formula: Gradient = Δy / Δx
Theorems
-
Suitable Grade Level
High School