WeBWorK : mathprep : Section09SettingUpFunctionsTest : v9

Problem 1.

(1 point)

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

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Problem 2.

(1 point)

Write an expression for $v(h)$ if $v = 16 t + 10$ and $h = 8t + 16$ .
$v(h) =$

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Problem 3.

(1 point)

If $s=-16t^2-2t+1$ , what is the coefficient of $t$ ?

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Problem 4.

(1 point)

Two functions differ by a constant multiple, $g(x) = k f(x)$ . Which of the following is true?

A. $g$ and $k$ are names of functions, $x$ is a variable and $f$ is a constant.
B. $f$ , $g$ , and $k$ are all constants and $x$ is a variable.
C. $f$ and $g$ are constants, $x$ is a variable, and $k$ is a constant.
D. $f$ and $g$ are names of functions, $x$ is a variable, and $k$ is a constant.
E. $f$ , $g$ , and $x$ are all variables and $k$ is a constant.

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Problem 5.

(1 point)

Express the area of a circle, $A$ , in terms of its circumference, $C$ .
$A(C) =$

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Problem 6.

(1 point)

In the height function $H(t) = AB^t$ , which of the following is true?

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

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Problem 7.

(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 8.

(1 point)

If $y = 3x + 5$ and $x = {\pi t^3\over 3}$ , write a formula for $y$ in terms of $t$ .
$y(t) =$

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Problem 9.

(1 point)

The function giving the amount of medicine remaining in the bloodstream $t$ hours after it has been administered is $M(t) = M_0 e^{-8.3t/h}$ , where $h$ is the medicine's half-life and $M_0$ is the initial dose. Which of the following is true?

A. $M$ and $M_0$ are names of functions, $t$ represents a variable, and $h$ is constant.
B. $M$ is the name of a function, $t$ represents a variable, and $M_0$ and $h$ are constants.
C. $M$ , $t$ and $h$ represent variables, and $M_0$ is a constant.
D. $M$ is the name of a function, $h$ represents a variable, and $M_0$ and $t$ are constants.
E. All of $M$ , $M_0$ , $t$ and $h$ represent variables.

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Problem 10.

(1 point)

If $B(t) = P_0(1 + {r\over12})^{12t}$ , what is the coefficient of $r$ ?

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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.