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Function and linear graph gradient


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1.A weather balloon has a capacity of 11 ft3 . It is filled with hydrogen at a constant rate. Initially, the balloon ...

itially, the balloon contains 4 ft3 of hydrogen and it takes 14 seconds to com- pletely fill the balloon. (a) At what rate is the balloon filled? (b) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (c) What can you say about the graph of V ? (You do not need to sketch the graph.)
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3.After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow ...

nbow is the shape of a parabola. The equation for this parabola is y = -x2 + 36. Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table. Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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