Solar scientists want to measure the temperature inside the sun by sending in probes. Imagine that temperature increases by 1 million°C for every 10,000 km below the surface. A probe that can handle a temperature of x million degrees costs x3 million dollars.
a. How much would it cost to measure the temperature 10,000 km down?
b. How much would it cost to measure the temperature 100,000 km down?
c. How much would it cost to measure the temperature 200,000 km down?
Scientifically, a quantity is large if it requires a tough measuring device to assess. In real life, toughness costs money. How much would it cost to measure the value in the above circumstances?