A survey of 500 teenagers was taken to see which sport was the favorite to watch on television. The pie chart above represents the results. Which of the following data sets (number of teenagers) was used to develop the pie chart?

A. Basketball, 120: football, 190: hockey, 90: soccer, 80: other 20

B. Basketball, 120: football, 190: hockey, 80: soccer, 90: other 20

C. Basketball, 190: football, 120: hockey, 90: soccer, 80: other 20

D. Basketball, 240: football, 380: hockey 160: soccer, 180: other 40

Answer Explanation:

The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:

Soccer

Hockey

Football

Basketball

Other

From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.

Therefore, the Correct Answer is B.

Q #1: Which of the following values is the greatest?

A. 9/2

B. 10/3

C. 4.4

D. 4.25

Answer Explanation

We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,

9/2*300=1350

10/3*300=1000

44/10*300=1320

425/10*300=1275

From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.
Q #2: To determine the insurance of a car, an insurance company considers the following determinants: the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?

A. Model

B. Insurance premium

C. Mileage

D. Age

Answer Explanation

A dependent variable is one that when another variable changes, it also changes. In our case, the insurance premium changes if the age, model, mileage of car changes. Thus, insurance premium is the dependent variable while the other three are independent variable.
Q #3: Using the numbers below, which of the following is the greatest? 4/3, 27/20, 1.369, 1.357  

A. 1.369

B. 4/3

C. 27/20

D. 1.357

Answer Explanation

to do a comparison of the given data set, we convert the fraction numbers into the approximate decimals.

4/3=1.333

2720=1.35

Now, we have 1.333, 1.35, 1.369, 1.357. These numbers are arranged from the smallest to the largest number, we look at the number in the second decimal place value

1.333 the number in second decimal place value is 3

1.35 the number in third decimal place value is 5

1.369 the number in third decimal place value is 6

1.357 the number in third decimal place value is 5

However, 1.35 and 1.357 have 5 in the second-place vale. We use the ird place value to compare the two number:

1.35 is same as 1.350 and the number in the third-place value is 0

1.357 the number in the third-place value is 7

Now, 0 is less than 7, and thus 1.35 is less than 1.357

Overall, 3 is less than 5, and 5 less than 6 and the provided numbers can be arranged from the smallest to the largest as:

1.333, 1.35, 1.357, 1.369

Thus, the corresponding given numbers organized from the smallest to the largest become:

4/3, 27/20, 1.357, 1.369

The greatest value is 1.369

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A survey of 500 teenagers was taken to see which sport was the favorite to watch on television. The pie chart above represents the results. Which of the following data sets (number of teenagers) was used to develop the pie chart?

More Questions on TEAS 7 Math

Q #1: Which of the following values is the greatest?

Answer Explanation

Q #2: To determine the insurance of a car, an insurance company considers the following determinants: the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?

Answer Explanation

Q #3: Using the numbers below, which of the following is the greatest? 4/3, 27/20, 1.369, 1.357

Answer Explanation

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A survey of 500 teenagers was taken to see which sport was the favorite to watch on television. The pie chart above represents the results. Which of the following data sets (number of teenagers) was used to develop the pie chart?

More Questions on TEAS 7 Math

Q #1: Which of the following values is the greatest?

Answer Explanation

Q #2: To determine the insurance of a car, an insurance company considers the following determinants: the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?

Answer Explanation

Q #3: Using the numbers below, which of the following is the greatest? 4/3, 27/20, 1.369, 1.357 &nbsp;

Answer Explanation

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Q #3: Using the numbers below, which of the following is the greatest? 4/3, 27/20, 1.369, 1.357