Noah has a smart phone data plan that costs $40 per month that includes 5 GB of data, but will charge an extra $30 per GB over the included amount. How much would Noah have to pay in a month where he used 3 GB over the limit? How much would Noah have to pay in a month where he used went over by xx GB?

For both questions you can use the equation:

Cost = $40 per month fixed (for the first 5GB) + $30X

Where X = number of GB over 5 GB limit.

1) So if he used 3GB over the limit he would have to pay $130.

Cost = $40 + $30(3) = $40 + $90 = $130.

The fixed cost for the first 5 GB is $40, plus $30 per GB over that limit. He used 3 GB extra, so he would be changed $90 for that. $40 + $90 = $130.

2) How much he would be charged if he went over by xx GB is simply represented by the equation above.

Cost = $40 + $30X

X represents the variable number of GB gone over.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.