Question

PLEASE HELP MEEEE!!

Answer 1

Kim is studying the sale of a particular brand of cereals from the year 2000 to 2010. She writes the following function to model the sale of the cereal S(t), in million dollars, after t years:

S(t) = t^2 + 7t + 69

Part A: What does the y-intercept of the graph of the function represent? (4 points)

Part B: What is the reasonable domain of the graph of the function? (3 points)

Part C: What is the average rate of change of the sale of the cereal from the first year to the fourth year? Show your work. (3 points)

Answer 2

@IMStuck @bibby @Haseeb96

Answer 3

Please help me. I am so confused with this problem

Answer 4

Working on it right now for you.

Answer 5

Thank you SO much! I have gotten a total of 12 hours of sleep since Thursday and I can't concentrate on a thing I'm so tired

Answer 6

as far as I can see it, the 69 occurs where the t (time) is 0. You have the time along the bottom axis, acting as your x, and the profits in millions of dollars as your y. To me, this means that at time 0, or the starting time of the observations, she is seeing a beginning dollar amount of 69 million dollars. Let me check something quick-like though.

Answer 7

BRB

Answer 8

okay

Answer 9

Ok, that's what I am getting for a. When you sub in 0 for t (time is 0), you get the y-intercept of 69. THat means that the starting money amount was 69 million.

Answer 10

So for Part A, I can simply write, "the y-intercept shows that the initial amount of money was 69 million?"

Answer 11

A reasonable domain for this graph would be all the numbers greater than or equal to 0. You can't have negative times, so the domain is {x such that x is greater than or equal to 0}. In reality, this graph has a domain of negative infinity to positive infinity, but like I said, the times here cannot be negative, so we will start at 0. And yes, you can say that at time 0, or the initial start time, the amount of money was 69 million.

Answer 12

Actually I put x, you would use t.

Answer 13

So what could I put for an answer for Part B to keep things simple yet accurate?

Answer 14

The domain is \[t \ge 0\]

Answer 15

For part c you need to find the rates of change between 1 year and 4 years. That is actually the slope. The curve is just that...a curve, so the slope will not be quite accurate, but I found that when t = 1, y = 77 (million dollars) and that is our first coordinate (1,77). At t = 4, y = 113 (million dollars) and that is our second coordinate (4,113). You only need two points to find the slope so do you know how to do that part?

Answer 16

It comes out really nice and neat. Let me know if you need assistance with this part.

Answer 17

Did you fall asleep or what?!

Answer 18

its 1:40 am for him @IMStuck