Back to Tutor Intake Assessment: Describe qualitatively the functional relationship between two quantities by analyzing a graph

8.F.B.5 Tutor Intake -- Qualitative Graph Analysis

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Grade 8·6 problems·~7 min·Common Core Math - Grade 8·container·8-f-b-5
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A

Concepts

1

A graph shows outdoor temperature from noon to midnight. From
6 p.m. to midnight, the temperature drops from 75 degrees to 60
degrees. Is the temperature negative at any point during this
interval?

2

Two distance-time graphs both show a car's distance increasing
from 0 to 50 miles over 10 minutes. Graph A is a straight line
the whole time. Graph B starts nearly flat and curves more and
more steeply upward. What does the shape difference tell you
about each car's speed?

B

Procedures

1

A graph shows the water level in a bathtub over time, in this
order: the level rises steadily for 5 minutes (faucet on), then
stays flat for 10 minutes (no water added or removed), then drops
steadily for 8 minutes (drain pulled). Which sequence correctly
describes this graph using increasing / decreasing / constant?

2

A graph shows a car's SPEED (not distance) over time. In one
section, the graph rises very steeply for 3 seconds. What does
this steep section tell you?

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