Question

SOLVE THE Word problem involving average rate of change

Answer 1

`{ \rm{rate \: of \: change = (R _(2)(t) - R _(1)(t) )/(t _(2) - t _(1)) }} \\`

For 0 < t < 10; 226.6 < R(t) < 205.6

`{ \rm{ = (205.6 - 226.6)/(10 - 0) }} \\ \\ { \rm{ = - (21)/(10) }} \\ \\ = { \rm{ - 2.1}} \\ \\ = 2.1`

Negative indicates an inverse proportionality, or decrease in temperature

For 30 < t < 50; 157.6 < R(t) < 119.6

`= { \rm{ (119.6 - 157.6)/(50 - 30) }} \\ \\ = { \rm{ - (38)/(20) }} \\ \\ = { \rm{1.9}}`