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n200080 [17]
3 years ago
8

1.     Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minut

es, since she began filling the trough. The graph shows this relationship. (a)   What rate does the point 8,28  represent? Explain. (b)   What is the unit rate for the situation in terms of centimeters/minute? Explain. (c)   Explain how the points 8,28 and 6,21 show that the water level varies directly with the time elapsed.

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0
(a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5
(b) The unit rate is 3.5 cm/s since the rate is constant.
(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.<span />
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Y=4x+28 sorry some is cut off
Rus_ich [418]
Add
4
x
4
x
to both sides of the equation.
y
=
−
28
+
4
x
y
=
-
28
+
4
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
4
x
−
28
y
=
4
x
-
28
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
4
4
y-intercept:
−
28
-
28
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
4
y-intercept:
−
28
-
28
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
image of graph
y
−
4
x
=
−
2
8
y
-
4
x
=
-
2
8

28
x
28
x
28
x
2
28
x
2
28
x
3
28
x
3
7 0
3 years ago
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