ATI TEAS Math Practice Test

Correct Answer: C

Rationale: The correct answer is C because a graph representing a proportional relationship has a constant slope that is equal to the rate of change between the variables. In this case, a slope of 2,000 means that for every unit increase in x, there is a corresponding increase of 2,000 in y, indicating a proportional relationship. The y-intercept being 0 is also consistent with a proportional relationship as it implies that when x is 0, y is also 0. A, B, and D are incorrect because their slopes and y-intercepts do not represent a proportional relationship. A slope of 2,500, 1,500, and -1,800 in choices A, B, and D respectively, do not indicate a constant rate of change between x and y, which is crucial for a proportional relationship. The y-intercepts in these choices also do not align with the characteristics of a proportional relationship.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To earn more than 96 points, Mathew needs to answer at least 97 points out of 120 (40 questions * 3 points each). This means he can only get a maximum of 23 questions wrong (120 - 97 = 23). So, Mathew can answer up to 7 questions incorrectly (23/3 = 7.67, rounded down to 7) and still qualify for varsity sports. Therefore, the correct answer is C: 0 ≤ x < 8, as Mathew can answer 0 to 7 questions incorrectly and still meet the eligibility requirement. Choices A, B, and D are incorrect because they do not accurately reflect the maximum number of questions Mathew can answer incorrectly based on the total points needed for eligibility.

Correct Answer: C

Rationale: To convert kilometers to miles, we can use the conversion factor of 1 kilometer is approximately 0.621 miles. Therefore, to find the distance in miles, we multiply 45 kilometers by 0.621, which equals approximately 28 miles. Choice C is correct because it correctly converts the distance from kilometers to miles. Choice A (42 miles), Choice B (37 miles), and Choice D (16 miles) are incorrect because they do not correctly convert kilometers to miles. Choice A overestimates the distance, Choice B underestimates it, and Choice D significantly underestimates it.

Correct Answer: C

Rationale: The correct answer is C because a graph representing a proportional relationship has a constant slope that is equal to the rate of change between the variables. In this case, a slope of 2,000 means that for every unit increase in x, there is a corresponding increase of 2,000 in y, indicating a proportional relationship. The y-intercept being 0 is also consistent with a proportional relationship as it implies that when x is 0, y is also 0. A, B, and D are incorrect because their slopes and y-intercepts do not represent a proportional relationship. A slope of 2,500, 1,500, and -1,800 in choices A, B, and D respectively, do not indicate a constant rate of change between x and y, which is crucial for a proportional relationship. The y-intercepts in these choices also do not align with the characteristics of a proportional relationship.