IM 8.5.7 Practice: Connecting Representations of Functions

The equation and the tables represent two different functions. Use the equation [math]b=4a-5[/math] and the table to answer the questions. This table represents [math]c[/math] as a function of [math]a[/math]. [br][br][img]data:image/png;base64,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[/img][br][br]When [math]a[/math] is -3, is [math]b[/math] or [math]c[/math] greater?
When [math]c[/math] is 21, what is the value of [math]a[/math]?
 What is the value of [math]b[/math] that goes with this value of [math]a[/math]?
When [math]a[/math] is 6, is [math]b[/math] or [math]c[/math] greater?
For what values of [math]a[/math] do we know that [math]c[/math]  is greater than [math]b[/math]?
Elena and Lin are training for a race. Elena runs her mile at a constant speed of 7.5 miles per hour.
Lin’s total distances are recorded every minute:[br][br][img]data:image/png;base64,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[/img][br][br]Who finished their mile first?
This is a graph of Lin’s progress. Draw a graph to represent Elena’s mile on the same axes.
For these models, is distance a function of time? Is time a function of distance? Explain how you know.
Match each function rule with the value that could not be a possible input for that function.
3 divided by the input
Add 4 to the input, then divide this value into 3
Subtract 3 from the input, then divide this value into 1
Find a value of [math]x[/math] that makes the equation true. Explain your reasoning, and check that your answer is correct.[br][br][math]-(-2x+1)=9-14x[/math]
Close

Information: IM 8.5.7 Practice: Connecting Representations of Functions