The table shows the weight gain of a kitten over a 5-week period. The graph shows the weight gain of a
second kitten over the same period. Compare the rates
of change for these two functions

The rate of change of the weight of kitten A is greater than the rate of change of the weight of kitten B

Step-by-step explanation:

∵ The table shows the weight gain of kitten A

→ Choose two points from the table to find the slope

∵ Points (0, 3) and (1, 7) are two points in the table

∴ x1 = 0 and y1 = 3

∴ x2 = 1 and y2 = 7

→ Substitute them in the rule of the slope above

∵ m = = = 4

∵ The slope is the rate of change

∴ The rate of change of the weight of kitten A is 4 oz/week

∵ The graph shows the weight gain of kitten B

→ Choose two points on the line to find the slope

∵ Points (0, 4) and (2, 10) lies on the line

∴ x1 = 0 and y1 = 4

∴ x2 = 2 and y2 = 10

→ Substitute them in the rule of the slope above

∵ m = = = 3

∵ The slope is the rate of change

∴ The rate of change of the weight of kitten B is 3 oz/week

→ By comparing the two rates

∵ The rate of change of kitten A is 4 oz per week

∵ The rate of change of kitten B is 3 oz per week

∴ The rate of change of the weight of kitten A is greater than

   the rate of change of the weight of kitten B

a

step-by-step explanation:

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