Question

Question: 3
The table shows the number of flowers used to create bouquets, based on the number of bouquets.

Bouquets
Flowers
4
32
5
40
6
48


Find the rate of change in the table.

6
7
8
9

Answer 1

To find the rate of change in the table, we can look at how the number of flowers changes with each increase in the number of bouquets.

From the table:

- When 4 bouquets are made, 32 flowers are used.
- When 5 bouquets are made, 40 flowers are used.
- When 6 bouquets are made, 48 flowers are used.

Now, let's calculate the change in the number of flowers used as the number of bouquets increases:

From 4 to 5 bouquets:
- Change in number of flowers = 40 flowers - 32 flowers = 8 flowers
- Change in number of bouquets = 5 - 4 = 1 bouquet
- Rate of change = Change in flowers / Change in bouquets = 8 flowers / 1 bouquet = 8 flowers per bouquet

From 5 to 6 bouquets:
- Change in number of flowers = 48 flowers - 40 flowers = 8 flowers
- Change in number of bouquets = 6 - 5 = 1 bouquet
- Rate of change = Change in flowers / Change in bouquets = 8 flowers / 1 bouquet = 8 flowers per bouquet

The rate of change is consistent in both cases and is 8 flowers per bouquet.

So, the rate of change in the table is **8**.