On chatty cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge. for 500 minutes she pays $35 total, and for 1500 minutes used she pays $55 total. what is her monthly fixed charge?

We are given : For 500 minutes she pays $35 total and for 1500 minutes used she pays $55 total.

So, we can put the given information in form of two coordinates :

( Number of minutes, Total amount).

(500, 35) and (1500, 55).

First we need to find the slope between those two coordinates.

Now applying slope-intercept form y=mx+b, where m is the slope and b is y-intercept.

y-intercept represents monthly fixed charge.

Plugging (x,y) = (500, 35) and slope m= 1/50 in slope-intercept form y=mx+b.

35 = 1/50 (500) +b

35 = 10 + b.

Subtracting 10 from both sides, we get

35-10 = 10-10 + b

b = 25.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

x = 23.78

step-by-step explanation: