Question

20 / 2
40 / 4
60 / 6
80 / 8
100 / 10

what is the constant of proportionality to the nearest tenth?

Answer 1

20 / 3, 40 / 6, 60 / 9

20 / 2, 40 / 4, 60 / 6, 80 / 8 100, / 10

compare the unit rates

Answer 2

The constant of proportionality is the ratio between the two sets of numbers.

For the first ratio, 20 / 2 = 10.
For the second ratio, 40 / 4 = 10.
For the third ratio, 60 / 6 = 10.
For the fourth ratio, 80 / 8 = 10.
For the fifth ratio, 100 / 10 = 10.

Since the ratios are all equal to 10, the constant of proportionality is 10.

Answer 3

To compare the unit rates, we need to calculate the rate of change for each set of numbers.

For the first set:

20 / 3 = 6.67
40 / 6 = 6.67
60 / 9 = 6.67

For the second set:

20 / 2 = 10
40 / 4 = 10
60 / 6 = 10
80 / 8 = 10
100 / 10 = 10

Comparing the unit rates, we can see that they are the same for the second set of numbers (10). However, the unit rates for the first set of numbers are not the same (6.67).