Question

The table below shows the charges for using an Internet service…A) Under which plan would he have to pay less?B) How much less?

Answer 1

The Solution:

Given that Nicholas used internet services for 16 hours and 40 minutes.

We are required to find which of the given plans will make Nicholas pay less charge. Hence, find how much less he will have to pay?

Plan A:

up to 10 hours for $6

Half an hour for $1 or part of half an hour for $1

So, 16 hours and 40 minutes

`\begin{gathered} 10\text{ hours=\$6} \\ 6\text{ hours and 40 minutes}=14*1=\text{ \$14} \\ \text{Total charge = 6+14= \$20} \end{gathered}`

Plan B:

up to 12 hours for $4

Half an hour for $1 or part of half an hour for $2

So, 16 hours and 40 minutes

`\begin{gathered} 12\text{ hours=\$}4 \\ 4\text{ hours and 40 minutes}=10*2=\text{ \$}20 \\ \text{Total charge = 4+20= \$2}4 \end{gathered}`

a. Clearly, Nicholas would pay less under Plan A.

b.

`\begin{gathered} \text{Plan A=\$20} \\ \text{Plan B=\$24} \\ 24-20=\text{ \$4} \end{gathered}`

Therefore, Nicholas will pay $4 less.