Phone plan A charges $1.25 for the first minute and $0.15 for every minute thereafter. Phone plan B charges a $0.90 connection fee and $0.20 per minute. Which of the following equations could be used to find the length, in minutes, of a phone call that costs the same under either plan?

(A) 1.25 + 0.15x = 0.90x + 0.20
(B) 1.25 + 0.15x = 0.90 + 0.20x
(C) 1.25 + 0.15(x – 1) = 0.90 + 0.20x
(D) 1.25 + 0.15(x – 1) = 0.90 + 0.20(x – 1)
(E) 1.25 + 0.15x + 0.90x + 0.20 = x

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jitumahi90 jitumahi90 · Answer 1 · 2020-03-13T14:41:45+01:00

Answer:

The answer is (C) [tex]1.25+0.15(x-1)=0.90+0.20x[/tex].

Step-by-step explanation:

Now, to find the equation for finding the length, in minutes, of a phone call that costs the same under either plan.

Let the phone charges per minute be [tex]x.[/tex]

So, to get the equation of the phone plan A as the phone plan A charges $1.25 for the first minute and after that $0.15 for every minute:

[tex]1.25+0.15x-0.15[/tex]

[tex]=1.25-0.15(x-1)[/tex]

Now, to get the equation of the phone plan B as given phone plan B charges a $0.90 connection fee and $0.20 per minute:

[tex]0.90+0.20x[/tex]

As, the phone call that costs the same under either plan.

Thus:

[tex]1.25+0.15(x-1)=0.90+0.20x[/tex]

Therefore, the answer is (C) [tex]1.25+0.15(x-1)=0.90+0.20x[/tex].