Suppose the air temperature surrounding a body remains at aconstant 10°F, C = 88.6, and k = 0.24.a. Determine a formula for the temperature at any time t.b. Use a graphing calculator to graph the temperature T as afunction of time t on the window 30, 304 by 30, 1004. c. When does the temperature of the body decrease more rap-idly: just after death, or much later? How do you know? d. What will the temperature of the body be after 4 hours?e. How long will it take for the body temperature to reach40°F? Use your calculator graph to verify your answer.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Suppose the air temperature surrounding a body remains at a
constant 10°F, C = 88.6, and k = 0.24.
a. Determine a formula for the temperature at any time t.
b. Use a graphing calculator to graph the temperature T as a
function of time t on the window 30, 304 by 30, 1004.
c. When does the temperature of the body decrease more rap-
idly: just after death, or much later? How do you know?
d. What will the temperature of the body be after 4 hours?
e. How long will it take for the body temperature to reach
40°F? Use your calculator graph to verify your answer.
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