WeBWorK : mathprep : Section09SettingUpFunctionsTest : v7

Problem 1.

(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 2.

(1 point)

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

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Problem 3.

(1 point)

In the decreasing exponential function $f(x)=a^{-x}$ , which of the following is true?

A. $f$ is the name of a function and both $x$ and $a$ represent variables.
B. $f$ and $x$ represent variables, and $a$ is a constant.
C. $f$ is the name of a function, $x$ represents a variable, and $a$ is a constant.
D. $f$ is the name of a function, $a$ represents a variable, and $x$ is a constant.
E. None of the other options is true.

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Problem 4.

(1 point)

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

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Problem 5.

(1 point)

Write a formula for $z(t)$ if $z = {1 + x^2\over 3xy}$ and $x = t$ and $y = t^2$ .
$z(t) =$

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

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Problem 7.

(1 point)

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

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Problem 8.

(1 point)

If $P = {nRT\over V}$ , what is the coefficient of $R$ ?

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Problem 9.

(1 point)

The $y$ -coordinate of the lower half of a circle is given by $y = y_0 - \sqrt{r^2 - (x - x_0)^2}$ , where the center of the circle is at $(x_0, y_0)$ and its radius is $r$ . Which of the following is true?

A. $y$ is the name of a function, $x$ and $r$ are variables, and $x_0$ and $y_0$ are constants.
B. $y$ and $r$ are variables, and $x$ , $x_0$ and $y_0$ are constants.
C. $x$ , $y$ , and $r$ are variables, and $x_0$ and $y_0$ are constants.
D. $x$ and $y$ are variables, and $r$ , $x_0$ and $y_0$ are constants.
E. $x$ and $y$ are names of functions, $r$ is a constant, and $x_0$ and $y_0$ are variables.

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Problem 10.

(1 point)

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

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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.