A construction firm is building a skyscraper, and the height of the skyscraper in yards and feet after certain numbers of days is shown in the table below. What is the missing value in the table?

Days
12
200
330
560
Height (yards)
9
140
306
510
Height (feet)
27
420
?
1,530
813
918
975
990

1 answer

To find the missing value in the heights (in feet) for 330 days, we can start by converting the heights from yards to feet and checking the pattern.

We know the conversion: 1 yard = 3 feet

Now, we can calculate the height in feet for the given heights in yards:

  1. For 12 days:

    • Height (yards) = 9 yards
    • Height (feet) = 9 yards × 3 feet/yard = 27 feet (This is confirmed in the table)
  2. For 200 days:

    • Height (yards) = 140 yards
    • Height (feet) = 140 yards × 3 feet/yard = 420 feet (This is confirmed in the table)
  3. For 330 days:

    • Height (yards) = 306 yards
    • Height (feet) = 306 yards × 3 feet/yard = 918 feet
  4. For 560 days:

    • Height (yards) = 510 yards
    • Height (feet) = 510 yards × 3 feet/yard = 1,530 feet (This is confirmed in the table)

Now, the missing value for the height (in feet) after 330 days is 918 feet.

Thus, the missing value in the table is 918 feet.