IM Alg1.4.5 Practice: Using Function Notation to Describe Rules (Part 2)

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
[size=150]Rule [math]C[/math] gives the monthly cost, in dollars, of using [math]g[/math] gigabytes of data on Company C’s plan. Rule [math]D[/math] gives the monthly cost, in dollars, of using [math]g[/math] gigabytes of data on Company D’s plan.[/size][br][br][size=100]Write a sentence describing the meaning of the statement [math]C\left(2\right)=40[/math].[/size]
Which is less, [math]C\left(4\right)[/math] or [math]D\left(4\right)[/math]? What does this mean for the two phone plans?[br]
Which is less, [math]C\left(5\right)[/math] or [math]D\left(5\right)[/math]? Explain how you know.[br]
For what number [math]g[/math] is [math]C\left(g\right)=130[/math]?[br]
Draw the graph of each function.
[size=150]Function [math]g[/math] is represented by the graph.[br][br][img]data:image/png;base64,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[/img][br][size=100]For what input value or values is [math]g\left(x\right)=4[/math]?[/size][/size]
[size=150]Function [math]P[/math] gives the perimeter of an equilateral triangle of side length [math]s[/math]. It is represented by the equation [math]P\left(s\right)=3s[/math]. [/size][br][br][size=100]What does [math]P\left(s\right)=60[/math] mean in this situation?[/size]
Find a value of [math]s[/math] to make the equation [math]P(s)=60[/math] true.
[size=100][size=150]Function [math]G[/math] takes a student’s first name for its input and gives the number of letters in the first name for its output. [br][/size][br]Describe the meaning of [math]G\left(Jada\right)=4[/math].[br][/size]
Find the value of [math]G\left(Diego\right)[/math].
[size=100][size=150][math]W[/math] gives the weight of a puppy, in pounds, as a function of its age, [math]t[/math], in months. Describe the meaning of each statement in function notation:[/size][br][br][math]W\left(2\right)=5[/math][/size]
[math]W\left(6\right)[/math]>[math]W\left(4\right)[/math]
[math]W\left(12\right)=W\left(15\right)[/math]
Diego is building a fence for a rectangular garden. It needs to be at least 10 feet wide and at least 8 feet long. The fencing he uses costs $3 per foot. His budget is $120.
[size=150]He wrote some inequalities to represent the constraints in this situation.[br]Explain what each equation or inequality represents:[/size][br][br][math]f=2x+2y[/math][br]
[math]x\ge10[/math]
[math]y\ge8[/math]
[math]3f\le120[/math]
His mom says he should also include the inequality [math]f>0[/math]. Do you agree? Explain your reasoning.[br]
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Information: IM Alg1.4.5 Practice: Using Function Notation to Describe Rules (Part 2)