if d is the distance traveled and r is the rate of travel which of the following represents the relationship between d and r for the equation d2r
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ATI TEAS 7

Practice Math TEAS TEST

1. If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?

Correct answer: A

Rationale: The equation D=2R means that D equals 2 times R, which translates to D being twice the value of R. Therefore, choice A, 'D is twice as much as R,' is the correct representation of the relationship between D and R. Choice B, 'R is twice as much as D,' incorrectly reverses the roles of D and R. Choice C, 'R is two times D,' incorrectly states the relationship between R and D. Choice D, 'D is two more than R,' does not accurately reflect the relationship presented in the equation.

2. Which of the following organs is responsible for producing bile?

Correct answer: B

Rationale: The correct answer is B: Liver. The liver is responsible for producing bile, which aids in fat digestion. The pancreas produces digestive enzymes, the gallbladder stores bile produced by the liver, and the stomach primarily secretes gastric acid for digestion. Therefore, choices A, C, and D are incorrect as they do not directly produce bile.

3. The cost of renting a bicycle is $3.60 per hour. Which equation shows the best relationship between the total cost (C) and the number of hours (h) rented?

Correct answer: A

Rationale: The best relationship is C = 3.60h because the cost increases by $3.60 for each hour of rental. This equation represents a linear relationship where the total cost (C) is directly proportional to the number of hours rented (h). Choice B (C = h + 3.60) is incorrect because it wrongly assumes a fixed additional cost of $3.60 regardless of the number of hours rented. Choice C (C = 3.60h + 10.80) is incorrect as it overestimates the initial cost. Choice D (C = 10.80h) is incorrect as it implies a constant rate of $10.80 per hour, which is not the case.

4. What effect does doubling the net force applied to an object have on its acceleration, assuming mass remains constant?

Correct answer: A

Rationale: According to Newton's second law of motion, acceleration is directly proportional to the net force applied to an object when mass is constant. Therefore, if the net force is doubled, the acceleration of the object will also double. This relationship is expressed by the formula F=ma, where F is the net force, m is the mass, and a is the acceleration. When mass is constant, doubling the force applied will result in a proportional doubling of acceleration. Choices B, C, and D are incorrect because doubling the net force does not halve, maintain, or quadruple the acceleration; it directly and proportionally increases the acceleration.

5. Which of these cinemas does not have a suitable option for Thomas and his sister?

Correct answer: A

Rationale: Only Twin Theatres does not offer a showing before 6 p.m. or after 10 p.m., which are the only times Thomas and his sister are available. The other cinemas - Reveler Cinema, Big Screen 14, and Best Seat in The House - have showings that fall within their available time slots, making them viable options for Thomas and his sister. Therefore, Twin Theatres is the correct answer. Reveler Cinema has showings at 5:45 p.m. and 7:15 p.m., Big Screen 14 has showings at 6:00 p.m., 6:45 p.m., 9:10 p.m., and 10:05 p.m., and Best Seat in The House has showings at 8:20 p.m., 9:55 p.m., and 11:25 p.m.

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