IM Alg1.6.6 Practice: Building Quadratic Functions to Describe Situations (Part 2)
The height of a diver above the water, is given by , where is time measured in seconds and is measured in meters. Select all statements that are true about the situation.
The height of a baseball, in feet, is modeled by the function given by the equation . The graph of the function is shown.
About when does the baseball reach its maximum height?
About how high is the maximum height of the baseball?
About when does the ball hit the ground?
Two rocks are launched straight up in the air. The height of Rock A is given by the function , where . The height of Rock B is given by , where . In both functions, is time measured in seconds and height is measured in feet. Use graphing technology in the applet below to graph both equations. Determine which rock hits the ground first and explain how you know.
Each expression represents an object’s distance from the ground in meters as a function of time, , in seconds. Object A: Object B: Which object was launched with the greatest vertical speed?
Which object was launched from the greatest height?
The table below shows some possible lengths and widths. Complete each area.Which length and width combination should Tyler choose to give his rabbit the most room?
Here is a pattern of dots.
How many dots will there be in Step 10?
How many dots will there be in Step ?
The function is defined by and the function is defined by . Find the values of and when is 4, 5, and 6.
Will the values of always be greater than the values of ? Explain how you know.
Is the water bottle falling at a constant speed? Explain how you know.
The graph shows how much insulin, in micrograms (mcg), is in a patient's body after receiving an injection.
Write an equation giving the number of mcg of insulin, , in the patient's body hours after receiving the injection.
After 3 hours, will the patient still have at least 10 mcg of insulin in their body? Explain how you know.