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: To calculate the distance traveled by the train, we use the formula Distance = Speed x Time. Given the speed of 60 mph and time of 2 hours, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is C: 120 miles. Choice A is incorrect because it only represents the speed of the train, not the total distance. Choice B and D are incorrect as they do not consider both speed and time to calculate the distance correctly.

Correct Answer: C

Rationale: The perimeter of a hexagon is 6 times the length of one side. So, for a side length of 320 feet, the perimeter is 6 * 320 = 1920 feet. The cost of fencing is $1.75 per foot, so the total cost will be 1920 * $1.75 = $3360. Choice A is incorrect as it does not consider the correct perimeter calculation. Choice B is incorrect as it underestimates the total cost. Choice D is incorrect as it overestimates the total cost.

Correct Answer: C

Rationale: To find the total amount contributed, add the amounts given by each roommate: $12.03 + $11.96 + $12.06 = $36.05. Since we are estimating, we can round the total to $36. Therefore, the correct answer is C: $36. Choice A: $34 is incorrect because the total amount is more than $34. Choice B: $35 is incorrect because the total amount is more than $35. Choice D: $37 is incorrect because the total amount is less than $37.

Correct Answer: C

Rationale: To find the number of students who will complete the nursing program, we first calculate the number of students majoring in nursing: 100 students * 3/4 = 75 nursing majors. Then, we determine how many of these nursing majors will complete the program: 75 nursing majors * 1/5 = 15 students. Therefore, the correct answer is C (15). Choice A (75) is incorrect because it represents the total number of nursing majors, not the number completing the program. Choice B (20) is incorrect as it does not consider the completion rate. Choice D (5) is incorrect as it is too low and does not account for the proportion of nursing majors who actually complete the program.