Answer:
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?
First, calculate the rate of change (Slope, once it is a linear function):
I will take the points: 
and 
Let's understand the graph!
This linear graph is about songs being downloaded in a period of 5 weeks.
In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.
The initial value (100) represents the number of songs.
Part B: Write an equation in slope-intercept form to model the relationship between x and y.
The Slope-intercept form of linear equations is 
where, m is the slope and b is the y-intercept.
In this case, we have
Answer:
The x-intercept is 2
Step-by-step explanation:
So what you would do is you would distribute the 2 to x and 3 to get the equation y+2=2x+6. Then you would subtract 2 from both sides and get y=2x+4. And because your m is your x-intercept you get the answer: 2.
Answer:
Step-by-step explanation:
This one you can't really make a formula for or anything, but it's fairly simple to figure out, with a bit of guess and check.
14 is really close to 15, but that's bigger, so let's try a smaller number that would work.
It has to be divisible by 2, because you've got a whole number that is 3 1/2 times the other number. (1/2 of a whole number means it's divisible by 2).
10 is divisible by 2,
10 ÷ 2 = 5
But, 10 x 3 = 30 which is much bigger than 14.
So, we've got to start with a smaller number.
Let's try something really small, like 4. We could try 2, but 2 x 3 = 6, which, even with 1/2 of 2, isn't nearly close to 14.
Now, 4 x 3 = 12
That's quite close to 14.
And 1/2 of 4 is 2.
All we do now is add 12 to 2 and see if it works.
12 + 2 = 14
14 = 14
This one works.
That means that Gina volunteered for 4 hours, because 3 1/2 x 4 = 14.
Answer:
B) x=12
Step-by-step explanation:
x+22+4x+2= 5x+24
5x+24=84
5x=60
x=12
