<li>The daytime telephone rate between two cities
is 90 cents for the first 3 minutes and c cents for
each additional minute. The total charge is reduced
65 percent on calls made after 11:00 P.M. The cost,
in dollars, of a 30-minute call made at 11:15 P.M.
between these two cities is
(A) 0.35(0.90) + 27c
(B) 0.35(0.90 + 0.27c)
(C) 0.35(0.90 + 9c)
(D) 0.65(0.90 + 27c)
(E) 0.65(0.90 + 0.30c)</li>
</ol>
<p>Please tell me how you did it. thanks. :]
this is from CB’s #2 test from the Online Course.</p>
<p>I think this is the answer so I'll go ahead and explain what I did.
The call is made after 11:00 pm so the total charge will be multiplied by .35, which is the total cost reduced by 65%.
The total cost is (.9 + .27c).35</p>
<p>I think you might have gotten confused by the minutes being placed as .27, but you can just plug in numbers to get past this.
Let's say c = 10 cents per call. 27 * .1 = 2.7 and .27 * 10 = 2.7.</p>
<p>The cost is .9 for the first 3 minutes. There are 27 minutes remaining, so the cost for the remaining minutes is .27<em>c. Since it is after 11, the cost is only .35 of what it was in the day. So the total cost is .35</em>(.9 + .27c)</p>
<p>The call lasts for 30 minutes. For the first three minutes, 0.9 dollars are charged. For the next 27 minutes, c cents or 0.01c dollars are charged per minute. So, the subtotal for the thirty minutes would be:
=> $ 0.9 + (27 x 0.01c)
=> $ 0.9 + 0.27c</p>
<p>It it then reduced by 65%, leaving only 35% of the original cost as 100-65=35.</p>
<p>So, the final cost becomes:
=> $ 35/100 x (0.90 + 0.27c)
=> $ 0.35(0.90 + 0.27c)</p>
<p>why is it .27? that's where I got confused
I got .35(.9+27C)
when I looked, I saw .27
In the question it stated that c was already in cents, so we don't have to convert.</p>