SOLVE THE Word problem involving average rate of change

Question

asked Apr 1, 2023 82.3k views

1 Answer

Gary Richardson · Answer 1 · 2023-04-08T09:01:30+0000

Answer:

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

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

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