Which of the following relationships represents a negative correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person remains unchanged
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: A farmer is planning for a growing season and want to know the trend in amount of rainfall in his area. He obtains rainfall falling in the first 5 months of the year as shown in the above table. Which of the following would best display the data? Month January February March April May Rainfall (mm) 20 6 14 28 34
A. Scatter plot
B. Pie chart
C. Line graph
D. Bar graph
Answer Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
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Q #2: Which of the following relationships represents a negative correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person remains unchanged
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
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Q #3: Five friends are sharing a pizza. Two friend eats a quarter of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
A whole pizza represents 1, and two friends eat ¼ of the pizza. The remaining fraction of pizza is:
Remaining amount =
Thus, 3/4 of pizza is left for three friends to share equally.
Now, the other three friends will each get
So, the other three friends will each get 1/4 of the pizza.
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Q #4: Lana has $90. She spends 70% of the money. She then invests the remaining amount and earns a profit of 60%. How much money does she now have?
A. $16.20
B. $84.20
C. $43.20
D. $27.00
Answer Explanation
We need to find the amount Lana left after spending and investing another.
Lana spends=70% of $90=70/100 * 90 = $63
Amount left after spending=$(90-63) = $27
Lana is left with $27, which she will invest and earns a profit of 60%.
Profit earned=60% of $27 = 60/100 * 27 = $16.20
Therefore, Lana will have $27 + $16.20 = $43.20
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Q #5: A recipe calls for 1.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 6.33 mL
B. 12.325 mL
C. 7.395 mL
D. 0.797 mL
Answer Explanation
We are asked to find mL equivalent in 1.5 teaspoons. To carry out the operations, we utilize dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
Since we want to remain with mL, use the second option and proceed as follows.
Thus, 1.5 teaspoons is equal to 7.395 mL
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Q #6: Which of the following percentages is equivalent to the fraction below? 7/8
A. 875%
B. 0.875%
C. 8.75%
D. 87.5%
Answer Explanation
We are required to find the percent equivalent of the given fraction.
We multiply 7/8 by 100 to convert it to percent. You convert fraction to percent.
Thus 7/8 is equal to 87.5%.
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Q #7: How may milliliters are there in 2.5 liters?
A. 0.25
B. 250
C. 25
D. 2500
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion options of interconversions are:
And
We want millimeters, use the second option to change L to mL as:
Therefore, 2.5 L is equivalent to 2500 mL.
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Q #8: Which of the following is the greatest value?
A. 74÷95
B. 7/8
C. 0.72
D. 74%
Answer Explanation
To solve this problem, we need to have all options in fraction form.
74
95 = 
7/8 = 3/8
0.72 = 72/100
74% = 74/100
Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:
74/95*3800=2960
7/8*3800=3325
72/100*3800=2736
74/100*3800=2812
We can see that the fraction 7/8 is the greatest among the given options.
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Q #9: As a person climbing a mountain increases walking speed, the rate of calories burned, height traveled, and energy expended also increase. Which of the following is the independent variable?
A. Walking speed
B. Energy
C. Calories
D. Height
Answer Explanation
An independent variable is a change that when modified brings a change in other variables. In this case, the person increases his climbing rate, calories burned, distance traveled and energy used increases. Therefore, the walking speed is the independent variable while other variables are dependent.
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Q #10: 3.60*0.75 Simplify the expression above. Which of the following is correct?
A. 0.027
B. 27
C. 0.27
D. 2.7
Answer Explanation
To solve the equation this equation, we compute the multiplication of the two numbers using the calculator
3.60 * 0.75 = 2.7
