Question

A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.

Answer 1

T = 2300 + 250q

Explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q