Use the data below for the temperature in degrees Celsius for a wood fire oven.

$\backslash$table$[[$Time in Minutes,$0,5,8,10,13,15,19,21,25],[$Temp $(C),25,120,205,250,290,280,290,285,285]]$

Estimate the instantaneous rate of change of the temperature at $10$ minutes. Use $2$ methods.

Method $1$: Choose a Surrounding Interval

Method $2$: Averaging a Preceding and Following Interval