Suppose That During the First Hour and 15 Minutes of a Physics

question 2

Multiple Choice

Suppose that during the first hour and 15 minutes of a physics experiment, the surface temperature of a small iron block is modeled by the exponential function f(t) = 15e ^t , where f(t) is the Celsius temperature t hours after the experiment begins. Compute the average rate of change of temperature over the second half hour of the experiment (i.e., over the interval $0.5 \leq t \leq 1$ ) . Round the answer to one decimal place.

• A) \(32.1 ^ { \circ } \mathrm { C } \text { hour }\)
• B) \(31.8 ^ { \circ } \mathrm { C } / \text { hour }\)
• C) \(41 ^ { \circ } \mathrm { C } / \text { hour }\)
• D) \(32.2 ^ { \circ } \mathrm { C } / \text { hour }\)
• E) \(33.1 ^ { \circ } \mathrm { C } / \text { hour }\)

---

Definitions:

Mail

The system of transporting documents and other small packages through a postal service or courier company.

President

The elected head of state and government in a republican form of government, responsible for executing the laws and leading the executive branch.

Electoral College

The body of electors established by the United States Constitution, responsible for selecting the President and Vice President.

Electors

Individuals chosen to vote in an electoral college system, such as that used for the United States presidential elections.