If one centimeter on the model equals 5 million years, how long did a layer 10 take to be created?
Answer (1)
Answer:Based on the assumption of the layer being 10 cm thick, that layer took 50 million years to be created.Solve:The scale tells us that 1 centimeter on the model represents 5 million years in reality.Let $L_m$ be the thickness of the layer on the model in centimeters.Let $T_r$ be the real time duration represented by that layer in million years.The relationship is:[tex]{T_r = L_m \times (\text{scale factor})}[/tex]Assuming that "a layer 10" means a layer that is 10 cm thick on the model ($L_m = 10$ cm):$\text{Scale factor} = 5 \frac{\text{million years}}{\text{cm}}$$T_r = L_m \times 5 \frac{\text{million years}}{\text{cm}}$$T_r = 10 \text{ cm} \times 5 \frac{\text{million years}}{\text{cm}}$$T_r = {50 \text{ million years}}$[tex] \: [/tex]
