A.4.5.2 Data Plans
A college student is choosing between two data plans for her new cell phone. Both plans
include an allowance of 2 gigabytes of data per month. The monthly cost of each option can
be seen as a function and represented with an equation:
- Option A: A(x)=60
- Option B: B(x)=10x+25
1. The student decides to find the values of A(1) and B(1) and compare them. What are those values?
2. After looking at some of her past phone bills, she decided to compare A(7.5) and B(7.5). What are those values?
3. Describe each data plan in words.
4. Graph each function on the same coordinate plane.
Then, explain which plan you think she should choose.
5. The student only budgeted $50 a month for her cell phone. She thought, “I wonder how many gigabytes of data I would have for $50 if I go with Option B?” and wrote B(x)=50. What is the answer to her question? Explain or show how you know.