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.[br][br]Rule C gives the monthly cost, in dollars, of using g gigabytes of data on Company C’s plan.[br]Rule D gives the monthly cost, in dollars, of using g gigabytes of data on Company D’s plan.
a. Write a sentence describing the meaning of the statement C(2)=40.
It costs $40 to use 2 gigabytes of data using plan C.
b. Which is less, C(4) or D(4)? What does this mean for the two phone plans?
C(4) is less. C(4)=70 and D(4)=80. The phone plan from Company C is less expensive if 4 gigabytes of data are used.
c. Which is less, C(5) or D(5)? Explain how you know.
D(5) is less. D(5)=80 and C(5)=85. The phone plan from Company D is less expensive if 5 gigabytes of data are used.
d. For what number g is C(g)=130?
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[/img][br]Function g is represented by the graph.
For what input value or values is g(x=4)?
Function P gives the perimeter of an equilateral triangle of side length s. It is represented by the equation P(s)=3s.
a. What does P(s)=60 mean in this situation?
The perimeter of an equilateral triangle of side length s is 60.
b. Find a value of s to make the equation P(s)=60 true.
Function G takes a student’s first name for its input and gives the number of letters in the first name for its output.
a. Describe the meaning of G(Jada)=4.
The name “Jada” has four letters.
b. Find the value of G(Diego).
W gives the weight of a puppy, in pounds, as a function of its age, t, in months.[br]Describe the meaning of each statement in function notation.
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.[br]He wrote some inequalities to represent the constraints in this situation:[br][img]data:image/png;base64,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[/img]
a. Explain what each equation or inequality represents.
[img]data:image/png;base64,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[/img]
b. His mom says he should also include the inequality f>0. Do you agree? Explain your reasoning.[br]
[img]data:image/png;base64,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[/img]