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.
John's weight loss for each week of the month is 4 pounds 3.5 pounds and 2 pounds he gained 4.5 pounds the last week if John originally weighed 153 pounds how much does he weigh now
To write an equation for the cost, let's break down the elements:
1. Jim pays $75 per month for a cell phone plan. This is a fixed cost that does not change based on the number of minutes used. Let's denote this as "A".
2. Jim also pays $0.30 per minute beyond the first thousand minutes. The cost per minute is constant, so we can express this as 0.30(x - 1000), where "x" represents the number of minutes used beyond the initial 1000.
Combining these two elements, the equation for the total cost "y" based on the number of minutes "x" can be written as:
y = A + 0.30(x - 1000)
In this case, since the fixed cost is $75 per month, the equation becomes:
y = 75 + 0.30(x - 1000)
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