21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is the number of balloons in inventory. Find the marginal cost for adding the 101st balloon to the inventory. Explain the meaning of this extra balloon in context to the scenario. +2.4x,

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
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I need help with part c of this question on my pratic3 test
Calculator is REQUIRED on this portion of the test!
Weather Bots is a manufacturer of neoprene weather balloons. As the 350-gram spherical balloon is
being inflated with hydrogen, the radius of the balloon, in feet, is modeled by a twice-differentiable
function r, of time t, where t is measured in minutes. The table below gives selected values of the
rate of change, r'(t) for the radius of Balloon A over the time interval 0 <t < 10.
Free Response
t (minutes)
2
4
7
9.
10
r'(t)
(feet per minute)
3.7
2.6
1.3
0.9
0.4
0.25
A. The radius of Balloon A is 5 feet when t = 4 minutes, Estimate the radius of the balloon when
4.5, using the tangent line approximation at t = 4. It is known that the graph of r is concave
down for the time 0 < t < 10. Is your approximation greater than or less than the true value?
B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate
of
- feet per second. Find the rate at which the volume is decreasing when the radius of
Balloon B is 2 feet. Given: V =
C. The cost to maintain inventory for the weather balloons is given by C(x) =
uuhere x is the number of balloons in inventory. Find the marginal cost for adding the 101st
balloon to the inventory. Explain the meaning of this extra balloon in context to the scenario.
21,500
+ 2.4x ,
Jean Adams Flamingo MathTM, LLC
Transcribed Image Text:Calculator is REQUIRED on this portion of the test! Weather Bots is a manufacturer of neoprene weather balloons. As the 350-gram spherical balloon is being inflated with hydrogen, the radius of the balloon, in feet, is modeled by a twice-differentiable function r, of time t, where t is measured in minutes. The table below gives selected values of the rate of change, r'(t) for the radius of Balloon A over the time interval 0 <t < 10. Free Response t (minutes) 2 4 7 9. 10 r'(t) (feet per minute) 3.7 2.6 1.3 0.9 0.4 0.25 A. The radius of Balloon A is 5 feet when t = 4 minutes, Estimate the radius of the balloon when 4.5, using the tangent line approximation at t = 4. It is known that the graph of r is concave down for the time 0 < t < 10. Is your approximation greater than or less than the true value? B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of - feet per second. Find the rate at which the volume is decreasing when the radius of Balloon B is 2 feet. Given: V = C. The cost to maintain inventory for the weather balloons is given by C(x) = uuhere x is the number of balloons in inventory. Find the marginal cost for adding the 101st balloon to the inventory. Explain the meaning of this extra balloon in context to the scenario. 21,500 + 2.4x , Jean Adams Flamingo MathTM, LLC
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