Question: 3

Question

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.