which of the following best describes the relationship of this set of data

ATI TEAS 7

Math Practice TEAS Test

1. Which of the following best describes the relationship in this set of data?

A. High positive correlation
B. Low positive correlation
C. Low negative correlation
D. No correlation

Correct answer: B

Rationale: The correct answer is 'B: Low positive correlation.' In a low positive correlation, the variables tend to increase together, but the relationship is not strong. This description fits the data set provided. Choice A, 'High positive correlation,' is incorrect because the correlation is not strong. Choice C, 'Low negative correlation,' is incorrect as the variables are not decreasing together. Choice D, 'No correlation,' is incorrect because there is a relationship between the variables, albeit weak.

2. If , then

A. 1
B. 2
C. 3
D. 4

Correct answer: C

Rationale: If $2x = 6$, then solving for $x$, we have $x = \frac{6}{2} = 3$. So, if $x = 3$, then $x+1 = 3+1 = 4$. Therefore, the value of $x+1$ would be 4.

3. After a hurricane, donations were collected and divided into various categories. If 23% of the funds went towards construction costs, what is the percentage donated to support construction?

A. 0.49
B. 0.23
C. 0.18
D. 0.1

Correct answer: B

Rationale: The correct answer is B (0.23). To find the percentage of funds donated for construction costs, we need to consider the given percentage, which is 23%. In decimal form, 23% is represented as 0.23. Choices A, C, and D are incorrect because they do not match the correct decimal equivalent of 23%, which is 0.23. It's essential to convert percentages to decimal form accurately to calculate the correct percentage of funds allocated for a specific purpose.

4. If a box of 55 syringes costs $660.00, what is the cost of four syringes?

A. $51.00
B. $26.00
C. $32.00
D. $48.00

Correct answer: D

Rationale: To find the cost of one syringe, divide the total cost by the number of syringes: $660.00 ÷ 55 = $12. Therefore, the cost of four syringes is 4 x $12 = $48. Choices A, B, and C are incorrect because they do not correctly calculate the cost per syringe or the total cost of four syringes.

5. What score must Dwayne get on his next math test to maintain an overall average of at least 90?

A. 89
B. 98
C. 95
D. 100

Correct answer: B

Rationale: To maintain an overall average of at least 90, Dwayne must aim for a score of 90 on every test. If his current average is below 90, he needs to make up for it by scoring higher on upcoming tests. Choosing 98 ensures that his overall average remains at or above 90. Choice A (89) is below the desired average of 90, so it would not be sufficient. Choices C (95) and D (100) are higher than necessary to maintain an average of at least 90.