Question

A patient has an illness that typically lasts about 24 hours. the temperature, t, in degrees fahrenheit, of the patient t hours after the illness begins is given by: t ( t ) = − 0.011 t 2 0.253 t 98.2 . round all answers to 1 decimal place.

Answer 1

The temperature 8 hours after the illness begins is approximately 99.5 degrees Fahrenheit (rounded to 1 decimal place).

Step-by-step explanation:

The equation provided represents the relationship between the temperature, t, in degrees Fahrenheit, and the time, t, in hours, after the illness begins. To find the temperature at a specific time, we can substitute the given time into the equation and calculate the result.

The equation is given as:

t(t) = -0.011t^2 + 0.253t + 98.2

To find the temperature at a specific time, let's substitute the given time into the equation and calculate the result.

For example, if we want to find the temperature 8 hours after the illness begins, we substitute t = 8 into the equation:

t(8) = -0.011(8)^2 + 0.253(8) + 98.2

Simplifying the equation, we get:

t(8) = -0.011(64) + 2.024 + 98.2

t(8) = -0.704 + 2.024 + 98.2

t(8) = 99.52

Therefore, the temperature 8 hours after the illness begins is approximately 99.5 degrees Fahrenheit (rounded to 1 decimal place).