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
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.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale's weight in ounces(oz)?
A. 29 oz
B. 41 oz
C. 35 oz
D. 53 oz
Answer Explanation
We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as
Or
Use the second option to convert pounds to ounces
Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz
Therefore, 3 pounds, 5 ounces is equal to 53 oz
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Q #2: An athlete can run 6 miles in 51 minutes. At this rate, how many miles could the athlete run in 90 minutes?
A. 15 miles
B. 11.5 miles
C. 45 miles
D. 10.6 miles
Answer Explanation
Here, the athlete runs 6 miles in 51 minutes, which can be expressed as:
Now, in 90 minutes, the athlete will cover about
Therefore, the athlete runs about 10.6 miles in 90 minutes.
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Q #3: 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.
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Q #4: If the trend below continues, which of the following is the best estimate of the average price of a home in 2016?
A. $155,000
B. $120,000
C. $125,000
D. $140,000
Answer Explanation
Looking at the given trend, it is observed that the price increases with years. From 2008 to 2012, the price is fairly constant but we expect it to be more than $130,000 in the year 2016. The expected price in 2016 is $140,000.
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Q #5: 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?
A. 12.325 mL
B. 5.32 mL
C. 7.43 mL
D. 0.507 mL
Answer Explanation
We are given that 1 teaspoon=4.93 mL, we can interpret it as:
Or
Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:
Therefore, 2.5 teaspoons hold about 12.325 mL.
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Q #6: Which of the following is the mean of the set data below? 30, 29, 28, 30, 24, 12, 26, 33, 25, 23
A. 30
B. 21
C. 27
D. 26
Answer Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
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Q #7: What is the area of a square that measures 3.1m on each side?
A. 12.4m2
B. 9.61m2
C. 6.2m2
D. 9.1m2
Answer Explanation
Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.
Area of the square =side*side
Side=3.1 m
Area of the square=3.1 m *3.1 m=9.61 m2
Note: 3.1 + 3.1 = 6.2 which is a wrong answer.
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Q #8: A garden in the shape of a square has an area of 13 square feet. Each side of the garden has a length of √13 feet. Which of the following is the best decimal approximation for the length of each side?
A. 4.5 feet
B. 6.5 feet
C. 3.6 feet
D. 2.6 feet
Answer Explanation
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
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Q #9: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
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Q #10: A farmer needs to buy fertilizer for his farmland. The instructions on the bag of the fertilizer say 49.5 pounds of fertilizer is needed for 1 acre of land. The farmer buys 2,000 pounds of fertilizer. Which of the following is the approximate number of acres he can cover with the fertilizer he bought?
A. 40
B. 120
C. 300
D. 1000
Answer Explanation
From the given problem,
49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:
Or
Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:
2000 pounds of fertilizers can farm approximately 40 acres of land.
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