Determine the following based on the diagrams: (5 points) a) Which panda has the steeper slope? b) What does the slope represent in the situation? c) What is the y-intercept for Mochi? d) What is the y-intercept for Kappa? e) What does the y-intercept mean in the scenario?

Question

The table MOCHI is:

Weeks: Weight(lbs:)

0 1
1 5
2 9
3 13

The graph KAPPA:

doesn't show points before 4. Starts half below 4 on the y axis. Goes up from there. Has numerous points, one of them is (2, 8) the last point is about (4, and somewhere between half 12 and 16 on the y axis)

The Y axis is Weight
X is Time in weeks

X has numbers: 1, 2, 3, 4, 5
Y has numbers: 4, 8, 12, 16, 20

Answer 1

To answer your questions based on the information provided about the weight of two pandas, Mochi and Kappa, we need to analyze the given data.

a) Which panda has the steeper slope?

To determine which panda has the steeper slope, we calculate the slope for each panda's weight over time.

Mochi's data:

• At week 0: 1 lb
• At week 1: 5 lbs
• At week 2: 9 lbs
• At week 3: 13 lbs

To find the slope:

• The change in weight over 3 weeks = (13 - 1) lbs over (3 - 0) weeks = 12 lbs / 3 weeks = 4 lbs/week.

Kappa's data: The graph starts showing points at week 4 and appears to rise rapidly. Assuming Kappa's data can be approximated, we can interpolate between the provided key points. Given that Kappa starts below 4 lbs and has a weight around 12 to 16 lbs at week 4, we can't find a specific slope without knowing the precise weight at week 4. However, it appears the slope is steeper.

Given the limited data, we can tentatively conclude that Kappa likely has a steeper slope, but this depends on the exact nature of Kappa's trajectory.

b) What does the slope represent in the situation?

The slope in this scenario represents the rate of weight gain per week for each panda. Specifically, for Mochi, it shows that Mochi gains 4 lbs per week, while Kappa's slope (if steeper) would indicate a faster weight gain.

c) What is the y-intercept for Mochi?

The y-intercept for Mochi is the weight at week 0, which is 1 lb. This means that when time is 0 weeks, Mochi starts at a weight of 1 lb.

d) What is the y-intercept for Kappa?

While the exact y-intercept is not provided in the description of Kappa's graph, it appears to start below 4 lbs. Thus, the y-intercept can be interpreted as approximately less than 4 lbs, but without precise coordinates, we cannot state the exact value.

e) What does the y-intercept mean in the scenario?

The y-intercept represents the initial weight of the panda at the start of the measurement timeline (week 0). For Mochi, it indicates that Mochi weighed 1 lb when the observations began. For Kappa, it suggests a starting weight potentially below 4 lbs when it was first measured at 4 weeks.

Please note that the analysis of Kappa heavily relies on the provided information, and better clarity on the weights at specific weeks would lead to more precise conclusions.

Answer 2

Bullet list the answers.

Answer 3

Sure! Here are the answers in bullet points:

• a) Kappa has the steeper slope (though this conclusion is tentative based on interpolation).
• b) The slope represents the rate of weight gain per week for each panda (e.g., Mochi gains 4 lbs per week).
• c) The y-intercept for Mochi is 1 lb.
• d) The y-intercept for Kappa is less than 4 lbs (exact value not provided).
• e) The y-intercept indicates the initial weight of the panda at the start of the observation timeline (week 0). For Mochi, it means 1 lb; for Kappa, it suggests a starting weight below 4 lbs.