Complete the next ordered pair so Molly knows how many white flowers she needs for 5 rows.

Ordered pairs: (36, 54), (48, 72), (, 90)

1 answer

To find the missing ordered pair that corresponds to 5 rows of flowers, we need to observe the pattern in the given pairs:

  1. The first ordered pair is (36, 54).
  2. The second ordered pair is (48, 72).

Looking at the first values in these pairs (36, 48), we can see an increase of 12.

Now examining the corresponding second values (54, 72), we also see that they increase by 18.

We can form a ratio from the first to the second values:

  • For (36, 54), \( \frac{54}{36} = 1.5 \)
  • For (48, 72), \( \frac{72}{48} = 1.5 \)

This indicates a consistent ratio of 1.5 between each pair.

Now, we can find the next first value in the sequence. The difference from 48 to the next first value (let's call it \( x \)) should be consistent with the earlier increments. Thus:

The next first value after 48 will be: \[ x = 48 + 12 = 60 \]

Now we can find the second value by applying the same ratio (1.5) to the new first value (60):

\[ \text{Second value} = 60 \times 1.5 = 90 \]

Therefore, the next ordered pair is (60, 90).

So the completed ordered pair is: (60, 90).