Lesson 17
Negative Rates
Problem 1
Describe a situation where each of the following quantities might be useful.
- -20 gallons per hour
- -10 feet per minute
- -0.1 kilograms per second
Solution
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Problem 2
A bank charges a service fee of $7.50 per month for a checking account.
A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?
Solution
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Problem 3
A submarine is searching for underwater features. It is accompanied by a small aircraft and an underwater robotic vehicle.
At one time the aircraft is 200 m above the surface, the submarine is 55 m below the surface, and the underwater robotic vehicle is 227 m below the surface.
- What is the difference in height between the submarine and the aircraft?
-
What is the distance between the underwater robotic vehicle and the submarine?
Solution
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(From Unit 7, Lesson 10.)Problem 4
Evaluate each expression. When the answer is not a whole number, write your answer as a fraction.
- \(\text-4 \boldcdot \text-6\)
- \(\text-24 \boldcdot \frac {\text{-}7}{6}\)
- \(4 \div \text-6\)
- \(\frac43 \div \text-24\)
Solution
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(From Unit 7, Lesson 16.)Problem 5
- A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip?
-
Which of the following represents the amount a customer pays including the tip of 15% if the bill was \(b\) dollars? Select all that apply.
- \(15b\)
- \(b+0.15b\)
- \(1.15b\)
- \(1.015b\)
- \(b+\frac{15}{100}b\)
- \(b+0.15\)
- \(0.15b\)
Solution
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(From Unit 6, Lesson 7.)Problem 6
Consider a rectangular prism with length 4 and width and height \(d\).
- Find an expression for the volume of the prism in terms of \(d\).
-
Compute the volume of the prism when \(d=1\), when \(d=2\), and when \(d=\frac12\).
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Solution
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(From Unit 4, Lesson 15.)