To calculate the rate of movement for each island, we can follow the formula you provided:
\[ \text{Rate (cm/yr)} = \left(\frac{\text{Island Distance (km)}}{\text{Island Age (Ma)}}\right) \times 0.1 \]
Now, let's calculate the rate for each island step by step.
Molokaÿi
\[ \text{Rate} = \left(\frac{290 , \text{km}}{1.8 , \text{Ma}}\right) \times 0.1 \] \[ = \left(161.1111\right) \times 0.1 = 16.1 , \text{cm/yr} \]
Kauaÿi
\[ \text{Rate} = \left(\frac{519 , \text{km}}{5 , \text{Ma}}\right) \times 0.1 \] \[ = \left(103.8\right) \times 0.1 = 10.4 , \text{cm/yr} \]
Midway
\[ \text{Rate} = \left(\frac{2432 , \text{km}}{28 , \text{Ma}}\right) \times 0.1 \] \[ = \left(86.2857\right) \times 0.1 = 8.6 , \text{cm/yr} \]
Suiko
\[ \text{Rate} = \left(\frac{4860 , \text{km}}{65 , \text{Ma}}\right) \times 0.1 \] \[ = \left(74.9231\right) \times 0.1 = 7.5 , \text{cm/yr} \]
Summary of Rates
- Molokaÿi: 16.1 cm/yr
- Kauaÿi: 10.4 cm/yr
- Midway: 8.6 cm/yr
- Suiko: 7.5 cm/yr