To answer your questions based on the given data for Mochi and Kappa:
a) Which panda has the steeper slope?
To find the slope, we can determine the change in \(y\) values over the change in \(x\) values.
For Mochi:
- Points: (0, 1) and (1, 5)
- Slope = (5 - 1) / (1 - 0) = 4 / 1 = 4
For Kappa:
- Points: (0, 2) and (1, 5)
- Slope = (5 - 2) / (1 - 0) = 3 / 1 = 3
Conclusion: Mochi has the steeper slope with a slope of 4 compared to Kappa's slope of 3.
b) What does the slope represent in the situation?
The slope represents the rate of change in \(y\) with respect to \(x\). In this context, it may represent how much the value of \(y\) increases for each unit increase in \(x\). If \(x\) were to represent time or some quantity, the slope indicates how quickly y-values (like a measurement of growth, perhaps food consumption or weight gain) increase as \(x\) increases.
c) What is the y-intercept for Mochi?
The y-intercept occurs when \(x = 0\):
For Mochi, when \(x = 0\), \(y = 1\). Y-intercept for Mochi is 1.
d) What is the y-intercept for Kappa?
For Kappa, when \(x = 0\), \(y = 2\). Y-intercept for Kappa is 2.
e) What does the y-intercept mean in the scenario?
The y-intercept indicates the value of \(y\) when \(x\) is zero. In this scenario, it could represent a starting value or baseline measurement. For example, it might represent the initial amount of food consumed, weight, or some other measure relevant to Mochi and Kappa when no additional time or units (indicated by \(x\)) have been taken into account.
This contextual meaning would depend on what \(x\) and \(y\) specifically represent in the given situation regarding Mochi and Kappa.
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