Rate of Change (Graphs)

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the rate of change in a graph?
Back
The rate of change in a graph represents how much one quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the rate of change from a graph?
Back
To calculate the rate of change, find the change in the vertical axis (rise) and divide it by the change in the horizontal axis (run). The formula is: Rate of Change = Rise / Run.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What does a steeper slope indicate in a graph?
Back
A steeper slope indicates a greater rate of change, meaning that the quantity on the vertical axis changes more rapidly in relation to the quantity on the horizontal axis.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a flat line represent in a graph?
Back
A flat line represents a rate of change of zero, indicating that there is no change in the quantity on the vertical axis as the quantity on the horizontal axis changes.
Tags
CCSS.HSF.IF.B.4
5.
FLASHCARD QUESTION
Front
What is the unit of measurement for rate of change?
Back
The unit of measurement for rate of change depends on the quantities being compared, such as dollars per movie, miles per hour, or feet per minute.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
If a graph shows a rate of change of 5 miles per hour, what does this mean?
Back
This means that for every hour that passes, the distance increases by 5 miles.
Tags
CCSS.HSF.IF.B.4
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a rate of change graph?
Back
The y-intercept represents the starting value of the quantity on the vertical axis when the quantity on the horizontal axis is zero.
Tags
CCSS.HSF.IF.B.4
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