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The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.

Buckets 2 5 7
Price (dollars) 14.50 36.25 50.75


Determine the constant of proportionality.
14.5
7.25
21.75
8.25

2 Answers

4 votes

Answer:

b) 7.25

Explanation:

Formula we use,

→ y = kx

→ k = y/x

Now the value of k will be,

→ k = y/x || → k = y/x

→ k = 14.5/2 || → k = 36.25/5

→ [ k = 7.25 ] || → [ k = 7.25 ]

Hence, the answer is 7.25.

User Ryudice
by
8.6k points
1 vote

Answer:

  • B) 7.25

Explanation:

Proportional relationship equation:

  • y = kx, where k-constant of proportionality

In the given table, number of buckets represent input values (x) and the price represents output values (y).

We have for the first column:

  • x = 2, y = 14.50

Find the value of k by plugging in the values of x and y:

  • 14.50 = 2k
  • k = 14.50/2
  • k = 7.25

Same result will be obtained with the other columns, therefore the constant of proportionality is 7.25.

User Kevin Sylvestre
by
7.9k points

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