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Math OERWeek 1 Homework, Part B

The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him.

- Nikolay Konstantinov

Answer every question. Try being nice to your eyes and posture by printing this page and working with pencil and paper. Then use the button at the bottom of the page to create a code by processing your answers. Copy-and-paste the code into an e-mail along with the answer to your short answer question.

Keep trying each homework assignment until you get 8 out of 10 or more.

1. Out of 245 racers who started the Junction City Marathon, 203 completed the race, 38 gave up, and 4 were disqualified. What percentage of racers did not complete the marathon?

1.6% 17% 21% 83%

2. Patrick left a tip of \$8 on a restaurant bill of \$50. What percent tip is that?

6.25% 15% 16% 20%

3. A project on Kickstarter.com was aiming to raise \$15,000 for a precision coffee press. They ended up with 714 supporters, and raised 567% of their goal. How much did they raise?

\$850 \$2,645 \$8,505 \$26,455 \$85,050

4. The population of a town increased from 3,750 in 2012 to 4,700 in 2014. Find the percent change.

20% 25% 80% 125%

5. A company wants to decrease their energy use by 15%. If their electric bill is currently \$1,300 a month, what will their bill be if they are successful?

\$110 \$195 \$1,105 \$19,500

6. Two science fiction fans are discussing space elevators. Consider these two claims, which might not actually be true. (a) Every year since 1950 the maximum strength of cable has doubled. (b) The maximum strength of cable has doubled from 1950 to today. Are those claims...

equivalent (they say the same thing)
in conflict (they cannot both be true)
not compatible (they are talking about different things)

7. Two politicians are discussing health policy. Consider these two claims, which might not actually be true. (a) 16.3% of Americans are without health insurance. (b) Only 55.9% of adults receive employer provided health insurance.

equivalent (they say the same thing)
in conflict (they cannot both be true)
not compatible (they are talking about different things)

8. A friend lends you \$175 for a week, which you agree to repay with 4% one-time interest. How much will you have to repay? (Note: this rate is 4% for the week, not an annual rate.)

\$7 \$18 \$43 \$43.75
\$182 \$218 \$245 \$437

9. A loan company charges \$19.94 simple interest for a three-month loan of \$550. Find the annual interest rate (APR) they are charging.

1.45% 4.4% 6.875% 14.5%

10. It is estimated that a driver takes, on average, 1.5 seconds from seeing an obstacle to reacting by applying the brake or swerving. How far (in feet) will a car driving at 85 miles per hour travel before the driver reacts to an obstacle?

31 feet 126 feet 187 feet 510 feet

Short Answer Question: Imagine that you own a store that stocks a certain item. Please make up what you are selling, and give it a wholesale cost from the supplier to your store of at least \$100. Then consider two situations. (a) For the selling price written on the price tag, you mark up the wholesale cost by 30%. (b) Later you have a store-wide sale and discount every price by 30% at the cash register. Is the final price at the cash register during that sale the same as the initial wholesale cost? Why or why not?