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The college student who is looking for a data plan for her cell phone found a third option, which also offers a 2-gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function , defined by , where is the gigabytes of data used over the monthly allowance.
Find and explain what it means in this situation.
Compare your answers:
because . Your answers may vary, but here is a possible explanation: It means that the cost would be $26 if she used 0.7 gigabyte over the 2-gigabytes allowance in a month.
Her budget is still $50 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes and solves for . What value of makes this equation true? Be prepared to show your reasoning.
Compare your answers:
. Your answers may vary, but here is a possible explanation: Because , we can write as and solve for , which gives 1.5.