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

Question

Bouquets Flowers
4 32
5 40
6 48

Find the rate of change in the table.
A.
6

B.
7

C.
8

D.
9

Answer 1

To find the rate of change in the table, we can look at how the number of flowers changes as the number of bouquets increases.

• From 4 bouquets to 5 bouquets, the change in the number of flowers is: \( 40 - 32 = 8 \) flowers

• From 5 bouquets to 6 bouquets, the change in the number of flowers is: \( 48 - 40 = 8 \) flowers

The number of flowers increases by 8 for each additional bouquet.

To find the rate of change per bouquet, we can also calculate it as follows:

1. Total change in flowers for the change in bouquets:

   • From 4 to 6 bouquets (2 bouquets): \( 48 - 32 = 16 \) flowers

2. The number of bouquets increased from 4 to 6 (which is 2).

3. The rate of change per bouquet is: \[ \text{Rate of change} = \frac{\text{Change in flowers}}{\text{Change in bouquets}} = \frac{16}{2} = 8 \]

Therefore, the rate of change is 8.

The answer is C. 8.