1. The panda which was heavier when they were born is Kappa.
2. The panda which is growing faster is Mochi.
3. The panda that will weigh more at 5 weeks is Mochi.
4. An equation for each panda include;
Mochi: y = 5x + 1.
Kappa: y = 3x + 2.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line refers to the general equation of a linear function and it is represented by this mathematical equation;
y = mx + b
Where:
- m represents the slope or rate of change.
- x and y are the points.
- b represents the y-intercept or initial value.
For the y-intercepts (initial weights of the panda), we have;
y-intercept of Mochi = (0, 1) = 1 unit.
y-intercept of Kappa = (0, 2) = 2 units.
Therefore, Kappa was heavier when they were born.
Part 2.
Rate of change (slope) =
Rate of change (slope) of Mochi = (5 - 1)/(1 - 0)
Rate of change (slope) of Mochi = 5 units per week.
Rate of change (slope) of Kappa = (8 - 2)/(2 - 0)
Rate of change (slope) of Kappa = 3 units per week.
Part 3.
Based on the rate of change calculated above, we can logically deduce that Mochi would weigh more at 5 weeks.
Part 4.
With a slope of 5 and y-intercept at 1, an equation for Mochi is given by;
y = mx + b
y = 5x + 1
With a slope of 3 and y-intercept at 2, an equation for Kappa is given by;
y = mx + b
y = 3x + 2
Complete Question;
1. Which panda was heavier when they were born?
2. Which panda is growing faster
3. Which panda will weigh more at 5 weeks?
4. Write the equation for each panda.