juan wishes to compare the percentages of time he spends on different tasks during the workday which of the following representations is the most appr
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ATI TEAS 7

TEAS Test Math Prep

1. Juan wishes to compare the percentages of time he spends on different tasks during the workday. Which of the following representations is the most appropriate choice for displaying the data?

Correct answer: D

Rationale: A pie chart is the most appropriate choice for displaying the percentages of time spent on different tasks during the workday because it visually represents parts of a whole. In this case, each task's percentage represents a part of the entire workday, making a pie chart an ideal way to compare these percentages. Line plots, bar graphs, and line graphs are not suitable for showing percentages of a whole; they are more commonly used for tracking trends, comparing values, or showing relationships between variables but do not efficiently represent parts of a whole like a pie chart does.

2. A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

Correct answer: C

Rationale: To convert 2.5 teaspoons of vanilla to milliliters, you multiply by the conversion factor: 2.5 teaspoons * 4.93 mL = 12.325 mL. Therefore, the correct amount of vanilla in milliliters is 12.325 mL. Choice A (5.33 mL) is incorrect because it does not account for the correct conversion factor. Choice B (7.43 mL) is incorrect as it also does not use the accurate conversion factor. Choice D (0.507 mL) is incorrect as it represents a miscalculation of the conversion.

3. What percentage of rainfall received during this timeframe is received during the month of October?

Correct answer: D

Rationale: To determine the percentage of rainfall received during the month of October, we must first calculate the total rainfall for October and the total rainfall for the entire timeframe. Given that the total rainfall for October is 18.9 inches and the total rainfall from January to November is 106.3 inches, we can proceed with the calculation. The percentage is calculated as (18.9/106.3) x 100 = 17.7%. Therefore, the correct answer is D, 17.7%. Choice A (13.50%), Choice B (15.10%), and Choice C (16.90%) are incorrect as they do not align with the accurate calculation based on the provided data.

4. Identify the positioning of decimal places after the decimal point in this number: 0.08573

Correct answer: C

Rationale: In the number 0.08573, the digits are positioned after the decimal point as follows: 0.08573. The correct answer is '5 in the second decimal place' because 5 is the second digit after the decimal point. Choice A is incorrect as there is no '0' after the decimal point. Choice B is incorrect as '8' is the first digit after the decimal point. Choice D is incorrect as '3' is the fourth digit after the decimal point.

5. A triangle has dimensions of 9 cm, 4 cm, and 7 cm. The triangle is reduced by a scale factor of x. Which of the following represents the dimensions of the dilated triangle?

Correct answer: C

Rationale: When reducing a figure by a scale factor, each dimension is multiplied by the same scale factor. In this case, the scale factor is not provided in the question. To find the scale factor, you would divide the new lengths of the sides by the original lengths. The scaled-down triangle's dimensions are the original dimensions multiplied by the scale factor. By performing the calculations, the dimensions of the dilated triangle are 6.75 cm, 3 cm, and 5.25 cm, which matches choice C. Choices A, B, and D have incorrect dimensions as they do not result from the correct application of the scale factor to the original triangle's dimensions.

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