Question

Luna is planning to buy a custom charm bracelet. She needs to purchase the bracelet first, and then she can add personalized charms that reflect her unique personality and style.

There is a linear relationship between the number of charms she adds and the total cost of the bracelet.

Number of charms

Total cost

2

4

6

$65.00

$95.00

$125.00

Describe the rate of change for this relationship.

The total cost of the bracelet

by

per charm.

Answer 1

To determine the rate of change for Luna's bracelet and charms, we can find the difference in total costs as the number of charms increases.

We can analyze the provided data:

- For 2 charms, the total cost is $65.00.
- For 4 charms, the total cost is $95.00.
- For 6 charms, the total cost is $125.00.

Now, let's calculate the increase in total cost as we add more charms:

1. **From 2 to 4 charms:**
- Total cost at 2 charms: $65.00
- Total cost at 4 charms: $95.00
- Increase in total cost: $95.00 - $65.00 = $30.00
- Increase in number of charms: 4 - 2 = 2 charms
- Rate of change: $30.00 / 2 charms = $15.00 per charm

2. **From 4 to 6 charms:**
- Total cost at 4 charms: $95.00
- Total cost at 6 charms: $125.00
- Increase in total cost: $125.00 - $95.00 = $30.00
- Increase in number of charms: 6 - 4 = 2 charms
- Rate of change: $30.00 / 2 charms = $15.00 per charm

From both comparisons, we see that the rate of change is consistent.

### Conclusion:
The total cost of the bracelet **increases by $15.00 per charm** added.