The Greenland ice sheet contains about $3$ million cubic kilometers of ice. If completely melted, this ice would release about $2.5$ million cubic kilometers of water, which would spread out over Earth's $340$ million square kilometers of ocean surface. How much would the sea level rise?

In 2011, the Greenland Ice Sheet was melting at a rate between 82 and 224 cubic km per year. What derivative does this tell us about? Define the function and give units for each variable.

How many times greater is a cubic meter then a cubic centimeter?

Consider the following data sets. a. Find the mean, median, and range for each of the two data sets. b. Give the five-number summary and draw a boxplot for each of the data sets. c. Find the standard deviation for each of the data sets. d. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well. e. Based on all your results, compare and discuss the two data sets in terms of their center and variation.

The following data sets give the approximate lengths of Beethoven's nine symphonies and Mahler's nine symphonies (in minutes).

$$\begin{aligned} &\begin{array}{llllllllll} \text { Beethoven } & 28 & 36 & 50 & 33 & 30 & 40 & 38 & 26 & 68 \end{array}\\ &\begin{array}{llllllllll} \text { Mahler } & 52 & 85 & 94 & 50 & 72 & 72 & 80 & 90 & 80 \end{array} \end{aligned}$$

A liter__________ is times as large as a microliter. (Complete the sentence with a power of ten greater than $1$.)

Consider the following exam questions and student solutions. Determine whether the solution is correct. If it is not correct, write a note to the student explaining why it is wrong and give a correct solution.

Exam Question: You can buy a $50$-pound bag of flour for $\$ 11$ or you can buy a $1$-pound bag for $\$ 0.39$. Compare the per pound cost for the large and small bags.

Student Solution: The large bag price is $50 \div \$ 11=\$ 4.55$ per pound, which is much more than the $39{\text{c}\hspace{-.12cm}\small|}$ per pound price of the small bag.

One cubic foot holds $7.48$ gallons of water, and $14 gallons of water weighs$8.33$pounds. How much do$6$ cubic feet of water weigh in pounds? In tons? (Answer the question involving conversion within the USCS system.)

Decide whether the following statement is a true or false sense. Explain your reasoning. The mean gas mileage of the compact cars we tested was $34$ miles per gallon, with a standard deviation of $5$ gallons.

A $5\%$ dextrose solution ( $5 \mathrm{mg}$ per $100 \mathrm{~mL}$ of solution) is given intravenously. Suppose a total of $1.5 \mathrm{~L}$ of the solution is given over a $12$-hour period.

a. What is the flow rate in units of $\mathrm{mL} / \mathrm{hr}$ ? ln units of $\mathrm{mg}$ of dextrose per hour?

b. If each $\mathrm{mL}$ contains $15$ drops (the drop factor is expressed as $15 \mathrm{ggt} / \mathrm{mL}$ ), what is the flow rate in units of $\mathrm{ggt} / \mathrm{hr}$?

c. During the $12$-hour period, how much dextrose is delivered?

A city imposes a law that requires all drivers to turn off their engines while stopped at traffic lights. Estimate the percentage. reduction in fuel use that this law could produce. What disadvantages might result from the law?

I've seen about $10^{50}$ commercials on TV. Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

The following puzzle problems require careful reading and thinking. Aha! solutions are possible.

A woman is traveling with a wolf, a goose, and a mouse. She must cross a river in a boat that will hold only herself and one other animal. If left to themselves, the wolf will eat the goose and the goose will eat the mouse. How many crossings are required to get all four creatures across the river alive?

In 2015, there were approximately 3,998,000 million births in the United States. Find the birth rate in units of births per minute. Assuming a U.S. population of 321 million, what was the annual birth rate in units of births per 1000 people?

Suppose a, b, c, and d are integers and

$$a \neq c$$

. Suppose also that x is a real number that satisfies the equation

$$\frac { a x + b } { c x + d } = 1$$

. Must x be rational? If so, express x as a ratio of two integers.