Question

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

BouquetsFlowers432540648
Find the rate of change in the table.

A. 

6

B. 

7

C. 

8

D. 

9

Answer 1

To find the rate of change of flowers with respect to bouquets, we can calculate the change in the number of flowers for each increment in the number of bouquets.

Here's how you do it:

1. Identify the number of bouquets and corresponding number of flowers:
- For 4 bouquets: 32 flowers
- For 5 bouquets: 40 flowers
- For 6 bouquets: 48 flowers
- For 8 bouquets: 64 flowers

2. Calculate the change in the number of flowers for each increment in the number of bouquets:
- From 4 to 5 bouquets:
- Change in flowers = 40 - 32 = 8
- From 5 to 6 bouquets:
- Change in flowers = 48 - 40 = 8
- From 6 to 8 bouquets:
- Change in flowers = 64 - 48 = 16

Now, calculate the rate of change (change in flowers/change in bouquets):

1. From 4 to 5 bouquets:
\[ \text{Rate} = \frac{8 \text{ flowers}}{1 \text{ bouquet}} = 8 \]

2. From 5 to 6 bouquets:
\[ \text{Rate} = \frac{8 \text{ flowers}}{1 \text{ bouquet}} = 8 \]

3. From 6 to 8 bouquets (which is an increment of 2 bouquets):
\[ \text{Rate} = \frac{16 \text{ flowers}}{2 \text{ bouquets}} = 8 \]

The rate of change is consistent at 8 across the dataset. Therefore, the answer is:

C. 8