Question

a phone company offers a monthly data plan at for $10 a month . the plan includes two megabytes of data and charges $0.10 per megabytes above 2 megabytes of data. write a piecewise defined function for M(X )the cost for X megabytes of data used in a month ​

Answer 1

`\ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.`

Explanation:

• One off charge = $10
• Charge for data over 2 Mb is = $0.10 per MB

The monthly charge for x MB data is:

1 . Data ta used up to 2 Mb

• $10

2 . Data used more than 2 Mb

• m(x) = 10 + 0.1(x - 2) = 10 + 0.1x - 0.2 = 0.1x + 9.8
• m(x) = 0.1x + 9.8

So the function is:

• 
  `\ m(x) = \{ {{10, if x\leq 2} \atop {0.1x + 9.8, if x>2}} \right.`