Question

The table shows the price for two magazine subscriptions. For

which values of x and y would the table show a proportional
relationship (equal ratios) among the number of subscriptions
and the price?
(a) x = 18 and y = 72
(b) x = 12 and y = 96
(c) x = 16 and y = 4
(d) x = 10 and y = 28

Answer 1

To determine if the table shows a proportional relationship between the number of subscriptions and the price, we need to check if the ratios of the number of subscriptions to the price are equal for different values of x and y.

Let's calculate the ratios for each option:

(a) x = 18 and y = 72

Ratio = x/y = 18/72 = 1/4

(b) x = 12 and y = 96

Ratio = x/y = 12/96 = 1/8

(c) x = 16 and y = 4

Ratio = x/y = 16/4 = 4/1

(d) x = 10 and y = 28

Ratio = x/y = 10/28 = 5/14

From the calculations above, we can see that only option (c) has equal ratios. The ratio of subscriptions to price is always 4:1, indicating a proportional relationship.

Therefore, the values of x and y that would show a proportional relationship among the number of subscriptions and the price in the table are x = 16 and y = 4.

Explanation: