For the following exercises, use the given information to find the unknown value. 26. y varies directly as the cube ofx . When x = 3 , t h e n y = 5. F i n d w h e n x = 4 .
For the following exercises, use the given information to find the unknown value. 26. y varies directly as the cube ofx . When x = 3 , t h e n y = 5. F i n d w h e n x = 4 .
C. A student completed the chart and correctly found the following information.
v = v? + 2ay = (9.0)² + 2(- 9.8)(– 3.0) = 139.8m/s; v, =- 11.8m/s
a
V
0 4
14cos40 =10.7
y
a
V
V.
- 9.8 4 -11.8
m/s
-3.0m
14sin40=9.0
** Use this information to solve the problem.
The following equation represents the relationship between hours of TV watched per day (x) and the number of situps a person can do (ŷ).
ŷ = -0.944xx+ 24.52
Use this model to predict the number of situps a person who watches 6.5 hours of TV can do. (to 2 decimal places)
The functions s(t) =
= -4.9t? + 34t represents the motion of an object launched vertically from the ground
with t in seconds and s(t) in meters. (note: ground corresponds to s = 0)
а.
Sketch the function. What are the units associated with each axis?
b. Find the average velocity on the time interval [5,6]. Velocity is distance divided by time. Include
units in your answer.
c. Add the secant line through the points (5, s(5)) and (6, s(6)) to your graph.
d. The average velocity on [5,6] is negative. How do we interpret this negativity when describing the
motion of the object? (i.e. what does the negative say about the motion of the object?)
College Algebra with Modeling & Visualization (5th Edition)
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