Let me analyze the image and provide solutions for the boxes. I'll extract the relevant text and interpret it to answer the questions. One moment, please!From the text in the image, here's the problem breakdown and answers:

Problem Setup:

• You start at an elevation of 560 feet above sea level.
• You are sinking at a rate of 1.9 feet per second.
• Define an expression for the time falling (t) and the corresponding elevation.

The Expression:

The elevation above sea level after falling for $t$ seconds can be expressed as: $\text{Elevation} = 560 - 1.9t$

Answers to the Boxes:

1. Question 1: What is the elevation after sinking for 4 seconds? Substitute $t = 4$ into the equation: $\text{Elevation} = 560 - 1.9(4) = 560 - 7.6 = 552.4 \, \text{feet}$ Answer: 552.4 feet

2. Question 2: The elevation is now 179.7 feet. How long have you been falling? Solve for $t$ when elevation = 179.7: $179.7 = 560 - 1.9t$ Subtract 560 from both sides: $-380.3 = -1.9t$ Divide by -1.9: $t = \frac{-380.3}{-1.9} = 200 \, \text{seconds}$ Answer: 200 seconds

Graphing:

To graph the model:

• Plot $t$ on the x-axis (time in seconds).
• Plot the corresponding elevation on the y-axis (feet).
• The starting point is $(0, 560)$, and the slope of the line is $-1.9$ (indicating a decrease in elevation over time).

Let me know if you'd like detailed graphing instructions!

Do you want more details, or have any questions? Here are five questions to consider for related learning:

1. How does the rate of sinking (slope) affect the graph of the model?
2. What is the elevation after sinking for 10 seconds?
3. If you sink at 3 feet per second instead, how would the equation change?
4. Can you predict when you will hit sea level (elevation = 0)?
5. How would the graph look if your sinking rate slowed down over time?

Tip: In problems like this, always check the slope's unit (feet/second) to ensure proper substitution!