Question

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Graph the line that represents a proportional relationship between d
and t with the property that an increase of 5 units in t corresponds to
an increase of 8 units in d.
What is the unit rate of change of d with respect to t? (That is, a
change of 1 unit in t will correspond to a change of how many units in
d?)
The unit rate is
Graph the relationship.
←
KH
-9-8-7-6-5-4-3-2
d
C
→
8-
7-
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9
Do 5 problems
→
C
t
C
C
C
Chock

Answer 1

• see the attached graph
• unit rate 1.6

Explanation:

You want the graph and the unit rate corresponding to the proportion 5 units in t corresponds to 8 units in d, where t is the independent variable.

Graph

The graph of (t, d) will go through the origin, as all graphs of proportions do. It will also go through the given point (5, 8). The graph is attached.

Unit rate

The unit rate is the slope of the line, the ratio of d to t:

unit rate = d/t = 8/5

unit rate = 1.6 . . . . . units of d per unit of t