ATI TEAS Math Practice Test

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: The correct answer is A: y = 15 + 28x. This equation represents the total amount of money Andy will have saved. Initially, he has $15 saved (y = 15 when x = 0). Then, he saves $28 per month, which is represented by 28x. Therefore, the total amount saved is the initial $15 plus the monthly savings of $28 times the number of months x. Summary: - Choice A is correct because it includes the initial savings of $15 and the monthly savings of $28x. - Choice B is incorrect because it incorrectly adds $15 to the monthly savings. - Choice C is incorrect because it only represents the monthly savings without considering the initial amount saved. - Choice D is incorrect because it adds the monthly savings before the initial amount saved.

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: D

Rationale: To find the possible costs, we divide the total amount spent by the number of packages: $16/4 packages = $4 per package. Since Hannah spends at least $16, the cost per package must be less than or equal to $4. Therefore, the correct inequality is 16 ≤ 4p (Option D). The other choices are incorrect because they do not accurately represent the relationship between the total spending and the number of packages purchased.

Correct Answer: B

Rationale: The correct answer is B: Group A is positively skewed, while Group B is approximately normal. This is because in a positively skewed distribution, the tail of the graph extends to the right, indicating a higher frequency of lower values. In the double bar graph provided, Group A has a longer bar on the left side, suggesting a higher concentration of lower values, which is indicative of positive skewness. Group B, on the other hand, shows a more symmetrical distribution, with bars of similar length on both sides, implying an approximately normal distribution. Other choices are incorrect because: A: Group A is not negatively skewed, as it has a longer left tail. C: Group A is not approximately normal, as it shows characteristics of positive skewness. D: Group B is not positively skewed, as it does not have a longer right tail.