IM 8.5.3 Lesson: Equations for Functions

Fill in the table of input-output pairs for the given rule. Write an algebraic expression for the rule in the box in the diagram.
[br][br][img]data:image/png;base64,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[/img]
Record your answers to these questions in the table provided.
Match each of these descriptions with a diagram:[br]a. the circumference, [math]C[/math], of a circle with [b]radius[/b], [math]r[/math][br]b. the distance in miles,[math]d[/math], that you would travel in [math]t[/math]  hours if you drive at 60 miles per hour[br]c. the output when you triple the input and subtract 4[br]d. the volume of a cube,[math]v[/math] given its edge length, [math]s[/math][br][br][img]data:image/png;base64,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[/img]
Write an equation for each description that expresses the output as a function of the input.
Find the output when the input is 5 for each equation.
Name the [b]independent[/b] and [b]dependent[/b] variables of each equation.[br][br]
Use your answers to the previous questions to fill in the table below.
Choose a 3-digit number as an input.
[size=150]Apply the following rule to it, one step at a time:[br][list][*]Multiply your number by 7.[/*][*]Add one to the result.[/*][*]Multiply the result by 11.[/*][*]Subtract 5 from the result.[/*][*]Multiply the result by 13[/*][*]Subtract 78 from the result to get the output.[/*][/list][br][size=100]Can you describe a simpler way to describe this rule? [/size][/size]
Why does this work?
[size=150]Jada had some dimes and quarters that had a total value of $12.50.The relationship between the number of dimes, [math]d[/math],  and the number of quarters, [math]q[/math], can be expressed by the equation [math]0.1d+0.25q=12.5[/math].[/size][br][br]If Jada has 4 quarters, how many dimes does she have?
If Jada has 10 quarters, how many dimes does she have?
Is the number of dimes a function of the number of quarters?
If yes, write a rule (that starts with [math]d=\ldots[/math]) that you can use to determine the output, [math]d[/math], from a given input, [math]q[/math]. If no, explain why not.
If Jada has 25 dimes, how many quarters does she have?
If Jada has 30 dimes, how many quarters does she have?
Is the number of quarters a function of the number of dimes? 
If yes, write a rule (that starts with [math]q=\ldots[/math])  that you can use to determine the output, [math]q[/math], from a given input, [math]d[/math]. If no, explain why not.

IM 8.5.3 Practice: Equations for Functions

Here is an equation that represents a function:
[math]72x+12y=60.[/math][br][br]Select [b]all [/b]the different equations that describe the same function:
Graph a system of linear equations with no solutions.
Write an equation for each line you graph.
[size=150]Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let [math]b[/math] be the number of pounds of beans Lin buys and [math]r[/math] be the number of pounds of rice she buys when she spends all her money on this meal.[/size][br][br]Write an equation relating the two variables.
Rearrange the equation so [math]b[/math] is the independent variable.
Rearrange the equation so [math]r[/math] is the independent variable.
Solve each equation and check your answer.
[math]2x+4(3-x)=\frac{3(2x+2)}{6}+4[/math]
[math]\frac{1}{2}-\frac{1}{8}q=\frac{q-1}{4}[/math]
[math]4z+5=-3z-8[/math]

Information