Total weight of spool and rope (in pounds) 3 is the change in the value of y when the change in the value of x is 4.75? 38. Suppose the constant rate of change of y with respect to x is -11.1 and we know y =-2.6 when x -0.85. a. What is the value of y when x 3.4? b. What is the value of y when x-12.7? c. What is the value of x when y = 4.5? d. What is the change in the value of y when the change in the value of x is -6.7? 39. Rope is wound around a large spool. The more rope wound around the spool, the greater the combined weight of the spool and rope. The graph shows that when 5 feet of rope is wound around the spool, the total weight of the spool and rope is 3.95 pounds. Note that the rope weighs 0.27 pounds per foot. a. If the number of feet of rope on the spool increases from the given point to 8.4 feet, what is the change in the number of feet of rope on the spool? Represent this change b. By how much does the weight of the spool and rope change for the change in the amount of rope on the spool you found in part (a)? Represent this change on the graph. What is the total weight of the spool and rope when there are 8.4 feet of rope on the spool? Explain how you determined this, d. What is the weight of the spool without any rope? Explain how you determined this value and |(5, 3.95) on the graph. 12 9 C. Total length of rope on the spool (in feet) represent your reasoning on the graph. Pathways Precalculus Pathways O 2019 Carlson, Oehrtman, and Moore Page 58
Total weight of spool and rope (in pounds) 3 is the change in the value of y when the change in the value of x is 4.75? 38. Suppose the constant rate of change of y with respect to x is -11.1 and we know y =-2.6 when x -0.85. a. What is the value of y when x 3.4? b. What is the value of y when x-12.7? c. What is the value of x when y = 4.5? d. What is the change in the value of y when the change in the value of x is -6.7? 39. Rope is wound around a large spool. The more rope wound around the spool, the greater the combined weight of the spool and rope. The graph shows that when 5 feet of rope is wound around the spool, the total weight of the spool and rope is 3.95 pounds. Note that the rope weighs 0.27 pounds per foot. a. If the number of feet of rope on the spool increases from the given point to 8.4 feet, what is the change in the number of feet of rope on the spool? Represent this change b. By how much does the weight of the spool and rope change for the change in the amount of rope on the spool you found in part (a)? Represent this change on the graph. What is the total weight of the spool and rope when there are 8.4 feet of rope on the spool? Explain how you determined this, d. What is the weight of the spool without any rope? Explain how you determined this value and |(5, 3.95) on the graph. 12 9 C. Total length of rope on the spool (in feet) represent your reasoning on the graph. Pathways Precalculus Pathways O 2019 Carlson, Oehrtman, and Moore Page 58
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.2: Substitution
Problem 25PPS
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Question
How to solve question 38/39
Transcribed Image Text:Total weight of spool and rope (in pounds)
3
is the change in the value of y when the change in the value of x is 4.75?
38. Suppose the constant rate of change of y with respect to x is -11.1 and we know y =-2.6 when x -0.85.
a. What is the value of y when x 3.4?
b. What is the value of y when x-12.7?
c. What is the value of x when y = 4.5?
d.
What is the change in the value of y when the change in the value of x is -6.7?
39. Rope is wound around a large spool. The more rope wound around the
spool, the greater the combined weight of the spool and rope. The graph
shows that when 5 feet of rope is wound around the spool, the total
weight of the spool and rope is 3.95 pounds. Note that the rope weighs
0.27 pounds per foot.
a. If the number of feet of rope on the spool increases from the given
point to 8.4 feet, what is the change in the number of feet of rope on
the spool? Represent this change
b. By how much does the weight of the spool and rope change for the
change in the amount of rope on the spool you found in part (a)?
Represent this change on the graph.
What is the total weight of the spool and rope when there are 8.4 feet of
rope on the spool? Explain how you determined this,
d. What is the weight of the spool without any rope? Explain how you determined this value and
|(5, 3.95)
on the graph.
12
9
C.
Total length of rope on the spool (in feet)
represent your reasoning on the graph.
Pathways Precalculus
Pathways
O 2019 Carlson, Oehrtman, and Moore
Page 58
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