in drilling worlds deepest hole it was found that the temperature T in degree celcius at x km below the - Maths - Principle of Mathematical Induction

Question

in drilling worlds deepest hole it was found that the
temperature T in degree celcius at x km below the surface of the
earth was =30+25(x - 3), 3 less than x less than 15 at what depth
will the temperature lie b/w 200oC and
300oC

Ankush Jain · Accepted Answer

Given, $T = 30 + 25 (x - 3), 3 \leq x \leq 15$ Here, we have to find x such that T lies between 200 and 300 $\Rightarrow 200 < T < 300 \Rightarrow 200 < 30 + 25 (x - 3) < 300 \Rightarrow 200 - 30 < 25 (x - 3) < 300 - 30 \Rightarrow 170 < 25 (x - 3) < 270 \Rightarrow \frac{170}{25} < x - 3 < \frac{270}{25} \Rightarrow \frac{170}{25} + 3 < x < \frac{270}{25} + 3 \Rightarrow \frac{245}{25} < x < \frac{345}{25} \Rightarrow 9 8 < x < 13 8$ Hence, the required depth lies between 9 8 km and 13 8 km

in drilling worlds deepest hole it was found that the temperature T in degree celcius at x km below the surface of the earth was =30+25(x - 3), 3 less than x less than 15. at what depth will the temperature lie b/w 200oC and 300oC.

in drilling worlds deepest hole it was found that the temperature T in degree celcius at x km below the surface of the earth was =30+25(x - 3), 3 less than x less than 15. at what depth will the temperature lie b/w 200^oC and 300^oC.