what is a direct proportion what is an inverse proportion
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ATI TEAS 7

Math Practice TEAS Test

1. What is a direct proportion? What is an inverse proportion?

Correct answer: A

Rationale: In a direct proportion, both quantities increase or decrease together. This means that as one quantity goes up, the other also goes up, and vice versa. On the other hand, in an inverse proportion, when one quantity increases, the other decreases by the same factor. Therefore, choice A is correct as it accurately defines direct and inverse proportions. Choices B, C, and D are incorrect because they do not accurately describe the relationship between quantities in direct and inverse proportions.

2. What is the median of the data set below: 5, -3, 10, -2, 0?

Correct answer: B

Rationale: To find the median, we first need to arrange the data set in ascending order: -3, -2, 0, 5, 10. The median is the middle value in the ordered set. As there are 5 numbers, the middle value is the third number, which is 0. Therefore, the correct answer is 0. Choice A (10) and Choice D (2) are not correct because they are not the middle values once the data set is ordered. Choice C (5) is also incorrect as it is not the middle value in the ordered data set.

3. What is the average length of a human eyelash?

Correct answer: B

Rationale: The average length of a human eyelash is approximately one centimeter. A nanometer is too small to describe the length of an eyelash. A meter and a kilometer are much longer lengths and not suitable to describe the average human eyelash.

4. What is the result of multiplying 3/5 by 5/7?

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. Multiplying 3/5 by 5/7 gives (3*5)/(5*7) = 15/35. This fraction simplifies to 3/7 by dividing the numerator and denominator by their greatest common factor, which is 5. Therefore, the correct answer is 3/7. Choices B, C, and D are incorrect as they do not result from multiplying 3/5 by 5/7.

5. A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?

Correct answer: A

Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.

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