a) Kappa was heavier than Mochi at his birth.
b) Mochi is growing faster than Kappa.
c) Mochi is going to be heavier than Kappa within 5 weeks
1) Gathering the data
Mochi
Age (weeks) | Weight
0 1
1 5
2 9
3 13
Kappa
On the chart below
2) Answering the questions:
a)"Which panda was heavier when they were born? Mochi or Kappa?"
Since mochi starts with 1 pound, and Kappa something around 2 pounds, then Kappa was heavier than Mochi at his birth.
B) "Which panda is growing faster?"
Examining the data, we can note that Kappa is growing at a speed of 8 pounds per 2 weeks, i.e. 4 pounds per week
And looking at the table, we can see that picking the point (2, 9), it tells us that Mochi is growing at a speed of 9 pounds per 2 weeks, 9/2 = 4.5 pounds per week
So, Mochi is growing faster than Kappa.
"Which panda will weigh more at 5 weeks? mochi or kappa?"
Examining the data, for Mochi and Kappa, we can see that they do not have a proportional relationship between their weight and aging. So we need to find 2 functions to predict their weight within 5 weeks.
So, let's start and find the function for mochi's growth using points (0,1) and (1,5) finding the slope:
And then plugging point (0,1) into the slope-intercept formula:
y=mx +b
1=4(0) +b
b=1
So Mochi's function is f(x) =4x+1
Since x is the age, when he turns 5 weeks old: f(5) = 4(5)+1 f(5) = 21 Mochi is going to weigh 21 pounds
To find Kappa's weight, let's plug points (2,8) and (0, 2)
So Kappa is going to weigh 17 pounds in 5 weeks.
Mochi is going to be heavier than Kappa
3) The answers are:
a) Kappa was heavier than Mochi at his birth.
b) Mochi is growing faster than Kappa.
c) Mochi is going to be heavier than Kappa within 5 weeks
