WeBWorK : mathprep : Section09SettingUpFunctionsTest : v12

Problem 1.

(1 point)

If $P=3l+2w+6d$ , what is the coefficient of $l$ ?

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Problem 2.

(1 point)

Express the volume, $V$ , of a cube as a function of the area, $A$ , of its base.
$V(A) =$

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Problem 3.

(1 point)

If $s = 3p - 2q$ and ${p\over q} = 6$ , write $s$ in terms of $q$ .
$s(q) =$

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Problem 4.

(1 point)

Write a formula for the function $V(r)$ if $V={1\over3}\pi r^2h$ and ${r\over6}={h\over10}$ .
$V(r) =$

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

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

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Problem 7.

(1 point)

If $V = {4\over3}\pi r^2$ , what is the coefficient of $r^2$ ?

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Problem 8.

(1 point)

A right circular cone with height $h$ and radius $r$ has volume $V = {1\over 3}\pi r^2 h$ . Write a formula for $V(h)$ if its radius is half as long as its height.
$V(h) =$

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Problem 9.

(1 point)

The bank balance resulting from an initial deposit of $P_0$ dollars is given as a function of time $t$ (in years) by $B(t) = P_0(1 + {r\over12})^{12 t}$ , where $r$ is a fixed annual interest rate compounded monthly. Which of the following is true?

A. $B$ is the name of a function, $r$ and $t$ represent variables, and $P_0$ is constant.
B. $B$ , $t$ and $r$ represent variables, and $P_0$ is constant.
C. $B$ is the name of a function, $t$ represents a variable, and $P_0, r$ are constants.
D. $B$ and $P_0$ are names of functions, $t$ represents a variable, and $r$ is constant.
E. All of $B$ , $t$ and $P_0$ are variables, and $r$ is constant.

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Problem 10.

(1 point)

If $V={4\over3}\pi r^3$ , what is the coefficient of $r^3$ ?

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Test Section09SettingUpFunctionsTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.