WeBWorK : mathprep : Section09SettingUpFunctionsTest : v4

Problem 1.

(1 point)

If $B = 2 p + q$ and $q - 2p = 1$ , write a formula for the function $B(p)$ .
$B(p) =$

Problem 2.

(1 point)

An interval is specified by $a < x < b$ . Which of the following is true?

A. $x$ is the name of a function and $a, b$ represent variables.
B. $x$ represents a variable, and $a, b$ are constants.
C. $a$ and $b$ represent variables, and $x$ is a constant.
D. All of $a$ , $b$ and $x$ represent variables.
E. $x$ is the name of a function and $a, b$ represent constants.

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Problem 3.

(1 point)

A soda can has volume $V = \pi r^2h$ . Write a formula for its volume $V(r)$ if the can's height is 5 units longer than its radius.
$V(r) =$

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Problem 4.

(1 point)

If $y = \ln({x+4\over 5})$ , what is the coefficient of $x$ ?

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Problem 5.

(1 point)

$P$ dollars are deposited in a bank account with a fixed annual interest rate, $r$ , compounded continuously. After $t$ years, the balance in the account is $B = P e^{rt}$ . Which of the following is true?

A. $P$ is the name of a function, $B$ and $t$ represent variables, and $r$ is constant.
B. $B$ , $t$ and $r$ represent variables, and $P$ is constant.
C. $B$ and $t$ represent variables, and $P, r$ are constants
D. $B$ and $P$ are names of functions, $t$ represents a variable, and $r$ is constant.
E. $B$ and $t$ are names of functions, $t$ represents a variable, and $P$ and $r$ are constants.

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Problem 6.

(1 point)

An interval on the $y$ axis is specified by $c \le y \le d$ . Which of the following is true?

A. $y$ is the name of a function and $c, d$ represent variables.
B. $c$ and $d$ represent variables, and $y$ is a constant.
C. All of $c$ , $d$ and $y$ represent variables.
D. $y$ is the name of a function and $c, d$ represent constants.
E. $y$ represents a variable, and $c, d$ are constants.

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