Question

1. A turkey with a temperature of 170℉ is taken out of the oven and placed in a room that is 79℉. The amount of time (in minutes) that it takes for the turkey to cool to a temperature of ? ℉ is given by the equation ?(?) =100⋅ln( 91 ?−79 ). Graph this function with appropriate scales. [4 pts] Be sure to show the asymptote and the ?-intercept. Use the graph to determine the temperature of the turkey (to the nearest degree) after 13 minutes. [2 pts] Also solve for the answer algebraically by converting the equation to exponential form​

Answer 1

f(x) = 100 ln ( 91x - 79 )

asymptote is

91x - 79 = 0

x = 79/91

x intercept is ( 80/91 , 0 )

after 13 minutes

temperature is 700.67 F

solving algebraically

f(x) = 100 ln ( 91* 13 - 79 )

f(x) = 700.67 F

temperature after 13 minutes = 700.67 F