5. A particular rocket taking off from the Earth's surface uses fuel at a constant rate of 12.5 gallons per minute. The rocket initially contains 225 gallons of fuel. (a) Determine a linear model, in y= ax+b_form, (b) Below is a general sketch of what the graph of your model should look like. Using your calculator, determine the x and y intercepts of this model and label them on the graph at points A and B respectively. for the amount of fuel the rocket has remaining, y, as a function of the number of minutes, x. (c) The rocket must still contain 50 gallons of fuel when it hits the stratosphere. What is the maximum number of minutes the rocket can take to hit the stratosphere? Show this point on your graph by also graphing the horizontal line y= 50 and showing the intersection point.
5. A particular rocket taking off from the Earth's surface uses fuel at a constant rate of 12.5 gallons per minute. The rocket initially contains 225 gallons of fuel. (a) Determine a linear model, in y= ax+b_form, (b) Below is a general sketch of what the graph of your model should look like. Using your calculator, determine the x and y intercepts of this model and label them on the graph at points A and B respectively. for the amount of fuel the rocket has remaining, y, as a function of the number of minutes, x. (c) The rocket must still contain 50 gallons of fuel when it hits the stratosphere. What is the maximum number of minutes the rocket can take to hit the stratosphere? Show this point on your graph by also graphing the horizontal line y= 50 and showing the intersection point.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Transcribed Image Text:5. A particular rocket taking off from the Earth's surface uses fuel at a constant rate of 12.5 gallons per minute.
The rocket initially contains 225 gallons of fuel.
(b) Below is a general sketch of what the graph of
your model should look like. Using your
calculator, determine the x and y intercepts of
this model and label them on the graph at
points A and B respectively.
(a) Determine a linear model, in y= ax + b form,
for the amount of fuel the rocket has
remaining, y, as a function of the number of
minutes, x.
(c) The rocket must still contain 50 gallons of fuel
when it hits the stratosphere. What is the
maximum number of minutes the rocket can
take to hit the stratosphere? Show this point
on your graph by also graphing the horizontal
line y= 50 and showing the intersection
point.
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