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Problem 33

The inverse of any relation is obtained by switching the coordinates in each ordered pair of the relation. Is the inverse of a function always, sometimes, or never a function? Give an example to explain your reasoning.

Problem 35

Which statement is true about the data in the table? A The data represent a function. B The data do not represent a function. C As the value of \(x\) increases, the value of \(y\) increases. D A graph of the data would not pass the vertical line test. $$\begin{array}{|c|c|}\hline x & y \\\\\hline-4 & -4 \\\\\hline 2 & 16 \\\\\hline 5 & 8 \\\\\hline 10 & -4 \\\\\hline 12 & 15 \\ \hline\end{array}$$

Problem 35

Choose a slope and \(y\) -intercept. Write an equation and then graph the line.

Problem 38

Find each percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from \(\$ 56\) to \(\$ 49\)

Problem 39

Find each percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from 110 mg to 165 mg

Problem 39

A CD player has a pre-sale price of \(\$ c\). Kim buys it at a \(30 \%\) discount and pays \(6 \%\) sales tax. After a few months, she sells it for \(\$ d\) which was \(50 \%\) of what she paid originally. How much did Kim sell it for if the pre-sale price was \(\$ 50 ?\)

Problem 40

The length of a DNA strand is 0.0000007 meter. Write the length of a DNA strand using scientific notation.

Problem 42

Simplify. $$5-8(-3)$$

Problem 46

Write each number in scientific notation. $$345,000$$

Problem 47

Write each number in scientific notation. $$.1,680,000$$

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