Question

Type the correct answer in the box. Use numerals instead of words.

The cost to manufacture the KZR 250 model of motorcycle at the Kawahama factory is shown in the table below.

Number of Motorcycles
Manufactured Cost
0 $0.00
1 $
3 $4,590.00
8 $12,240.00
15 $22,950.00


Using the information in the table, determine the constant of proportionality, and use it to complete the table.

Answer 1

To determine the constant of proportionality, we can look at the cost per motorcycle manufactured.

From the given data, we can calculate the cost per motorcycle for the known quantities:

- For 1 motorcycle:
- Cost = $4,590.00
- Cost per motorcycle = $4,590.00 / 1 = $4,590.00

- For 3 motorcycles:
- Cost = $4,590.00
- Cost per motorcycle = $4,590.00 / 3 = $1,530.00

- For 8 motorcycles:
- Cost = $12,240.00
- Cost per motorcycle = $12,240.00 / 8 = $1,530.00

- For 15 motorcycles:
- Cost = $22,950.00
- Cost per motorcycle = $22,950.00 / 15 = $1,530.00

From the calculations, we observe that the constant of proportionality is $1,530.00 per motorcycle.

Now, we can fill in the missing costs in the table:

1. For 0 motorcycles:
- Cost = 0 * $1,530.00 = $0.00

2. For 1 motorcycle:
- Cost = 1 * $1,530.00 = $1,530.00 (already provided)

3. For 3 motorcycles:
- Cost = 3 * $1,530.00 = $4,590.00 (already provided)

4. For 8 motorcycles:
- Cost = 8 * $1,530.00 = $12,240.00 (already provided)

5. For 15 motorcycles:
- Cost = 15 * $1,530.00 = $22,950.00 (already provided)

So the value to fill in for the cost of 1 motorcycle in the answer box is:

**1530**