Jim pays $75 per month for a cell phone plan plus $0.30 per minute be on the first thousand minutes write an equation for the cause (y) based on the number of minutes(x)after the first 1000 I have become very confused.

3 answers

there is a flat fee of 75.00, so start with that:

y = 75.00

Now, add .30 for each minute. For x minutes, that is .30x, so

y = 75.00 + 0.30x

No information is given on what happens after the first 1000 minutes, so all we can do is restrict the domain to what we know:

y = 75.00 + 0.30x for 0 <=x <= 1000

If the minutes after 1000 are free, then we don't need the restriction. If some other rate applies, we have to define y piecewise.
Or, it occurs to me that maybe you have garbled the question, and it should read

$75 per month plus $0.30 per minute after the first thousand minutes

In that case, it's just

y = 75.00 for 0 <= x <= 1000
y = 75.00 + 0.30(x-1000) for x > 1000
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