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Answer:
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
The ratio between the two variables is a constant called constant of proportionality k
<u><em>Verify each case</em></u>
A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Multiply in cross
Is true
therefore
The situation represent a proportional relationship
C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
The average rate of change = 1.59 ≈ 2
The average rate of change can be calculated by
1) The first one = = 1.5
2 ) the second can also be solved by ; 8 + 2/ 2 = 5
3 ) the third one will be 20 + 6 / 2 = 13
4) 8.5
5) 12.5
To calculate the average rate of change
we will first add all the distance
Adding all the distance we will get the sum = 3 + 8 + 20 + 10 + 10 = 51
The total time = 2 + 6 + 9 +15 = 32
Thus the average rate of change = 51 / 32 = 1.59
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