Based on the information provided, let's analyze the situation step-by-step to answer the questions:
a) Which panda has the steeper slope?
To determine which panda has a steeper slope, we need to find the slope of their weight over time. The slope is calculated by taking the change in weight divided by the change in time (Δy/Δx).
Assuming the graph shows the weight of Mochi and Kappa at different times, you would need the specific points (at least two for each panda) to calculate the slopes accurately. However, since you provided that one of Kappa’s points was approximately (2, 8) and mentioned its last point being about (4, somewhere between 12 and 16), we can calculate a rough slope for Kappa:
For Kappa:
- At (2,8) and let's say (4, 15) for convenience: \[ \text{slope} = \frac{15 - 8}{4 - 2} = \frac{7}{2} = 3.5 \]
Assuming Mochi has similar data or better-aligned points, without specific details, we would visually compare the steepness. As it stands, if Kappa shows a greater change in weight per week based on the given visual information, it can be inferred but not definitively concluded without exact data.
b) What does the slope represent in the situation?
The slope in this context represents the rate of weight gain for each panda per week. A steeper slope indicates that the panda is gaining weight more quickly, while a shallower slope indicates slower weight gain.
c) What is the y-intercept for Mochi?
To determine Mochi's y-intercept, we identify where the line crosses the y-axis (the weight axis) when time (weeks) is zero. Based on your description, it starts "half below 4 on the y axis," which indicates the y-intercept for Mochi is likely around 3.5 lbs (if we denote below 4 as 3.5 for simplicity).
d) What is the y-intercept for Kappa?
Using the previously provided information, since Kappa goes up from a visible point but doesn't give explicit starting values, it might also be estimated similarly near 4 lbs, but since you mentioned (2, 8) being Kappa's, the intercept would still be similar to Mochi if it started "half below" the vertical range mentioned.
e) What does the y-intercept mean in the scenario?
The y-intercept in this scenario represents the initial weight of each panda at the time of zero weeks. It gives us an idea of the starting point for their weight gain journey before any additional weeks of growth are accounted for.
Summary of Answers:
- a) We need exact points for Mochi to compare; Kappa's slope based on calculated data could be assumed.
- b) The slope represents the rate of weight gain per week.
- c) Mochi's y-intercept is around 3.5 lbs.
- d) Kappa's y-intercept might be around the same or slightly above, inferred from the graph.
- e) The y-intercept indicates the initial weight when measurements began.