Question 1128012
a).

{{{T(t) =m*t+b}}}

{{{Time}}}|{{{Temperature}}}
{{{15 }}}|{{{2400 }}}
{{{20}}}|{{{ 2350 }}}
{{{30}}}|{{{ 2250 }}}
{{{60}}}|{{{ 1950}}} 

*[invoke slope 15, 2400, 20, 2350]

{{{T(t) =-10t+b}}}

use one point to find {{{b}}}

{{{2250 =-10*30+b}}}

{{{2250 =-300+b}}}

{{{2250 +300=b}}}

{{{b=2550}}}

{{{T(t) =-10t+2550}}}-> your function

The value of the slope {{{-10}}} means that the temperature is decreasing at a rate of °{{{F}}} per minute. 


(c) Assuming the temperature continues to decrease at the same rate, what will be the temperature of the pottery in 3 hours?

that the temperature is decreasing at a rate of 1O°F per minute

{{{T(t) =-10t+2550}}} ...if {{{t=3}}} hours={{{t=180}}} min

{{{T(3) =-10*180+2550}}}

{{{T(3) =-1800+2550}}}

{{{T(3) = 750}}}°F