Question

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

Answer 1

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.

Answer 2

• 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.