Exponential Function

[Needycause]

y=89.976e^-0.023t where t = Time Elapsed (minutes) and y= Temperature Difference (in degrees)

(a) Use the exponential function to estimate the temperature difference y when 35 minutes have elapsed.

(b) How long will it take for the coffee to reach a temperature of 120 degrees? Hint: We first must find the value of y, which is C-69. Therefore, y=120-69=51. We now use this value of y=51 in the equation and then solve for t=time. You are solving: 51=89.976e^-0.023t

 

[Dr.Peterson]

y=89.976e^-0.023t where t = Time Elapsed (minutes) and y= Temperature Difference (in degrees)

(a) Use the exponential function to estimate the temperature difference y when 35 minutes have elapsed.

(b) How long will it take for the coffee to reach a temperature of 120 degrees? Hint: We first must find the value of y, which is C-69. Therefore, y=120-69=51. We now use this value of y=51 in the equation and then solve for t=time. You are solving: 51=89.976e^-0.023t

You appear to have omitted part of the problem, though perhaps it can be reconstructed from the "hint". Please state the entire problem (e.g. that it is about coffee starting at some initial temperature in an environment of some temperature), and also show us what you have tried.

Most of what you have to do is just to plug numbers in the equation and either evaluate or solve. We need to see what you already know, in order to give whatever help you need.