Question

Can anyone help me solve this

Answer 1

Answer:

a. $45.54; b. $51.42; c. See below

Step-by-step explanation:

a. 193 min

        Service charge = $40.00

1st 100 min @ 0.021 =      2.10

Next 93 min @0.037 =    3.44

                        Total =  $45.54

b. 317 min

          Service charge = $40.00

  1st 100 min @ 0.021 =      2.10

2nd 100 min @ 0.037 =     3.70

        117 min @ 0.048 =     5.62

                          Total =   $51.42

c. Piecewise function

The charge is  

• $40.00 + 0.021t               if t ≤ 100
• $42.10 + 0.037(t - 100)    if 100 < t ≤ 200
• $45.80 + 0.048 (t - 200) if t > 200

which we can write like this:

$f(t) =\begin{cases}40.00 + 0.021t & t \leq 100\\42.10 + 0.037(t-100) & 100 < t \leq200\\45.80 + 0.048(t-200) & t > 200\end{cases}$