As a person cycling increases speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
A. Energy
B. Calories
C. Speed
D. Distance
an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.
Therefore, speed is the independent variable while other variables are dependent.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Five less than twice a number Which of the following translates the phrase above into a mathematical expression?
A. 5x-2
B. 2-5x
C. 5-2x
D. 2x-5
Answer Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
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Q #2: Which of the following is the correct decimal placement for the product of 1.3 * 0.47?
A. 6.11
B. 0.611
C. 0.0611
D. 0.00611
Answer Explanation
in the given problem, we use the calculator to find 1.3*0.47=0.611
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Q #3: Which of the following relationships represents a positive 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 increases
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 negative correlation
Option c is a negative correlation
Option d is a positive correlation
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Q #4: A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
A. $51
B. $36
C. $22
D. $65
Answer Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
Mark off value=mark off rate*original price
Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,
Thus, the approximate selling price of the sweater is $65.
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Q #5: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb =1 kg)
A. 110 lb
B. 220 lb
C. 52.2 lb
D. 22.7 lb
Answer Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:
Thus, 50 kg is equal to 110 lb.
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Q #6: A student performs the following estimations. 24+190≈210 151+319≈470 974+1022≈1990 Based on these estimations, which of the following is the student’s estimate of 452+5017?
A. 5470
B. 5500
C. 5400
D. 5450
Answer Explanation
from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows
24+190=214
151+319=470
974+1022=1996
From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.
452+5017=5469
We can approximate 5469 based on the provided choices to 5470.
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Q #7: A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $5.00
D. $7.00
Answer Explanation
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
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Q #8: A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in table above. Which of the following would best display the data? Tree type Apple Orange Lemon Banana Pear Number of trees 20 10 12 25 21
A. Bar graph
B. Stem and leaf plot
C. Line graph
D. Scatter plot
Answer Explanation
Based on the above data, the horizontal axis will be tree type and vertical axis will represent the number of trees.
Based on these, a bar graph is appropriate to represent the number trees.
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Q #9: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 20 gallons
B. 720 gallons
C. 20 oz
D. 720 oz
Answer Explanation
we use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:
1 gallon of solution6 oz of ammonia
Or
6 oz of ammonia1 gallon of solution
Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 720 oz of ammonia.
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Q #10: Which of the following is the greatest value?
A. 34÷96
B. 3/8
C. 0.372
D. 37%
Answer Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
34÷96=
3/8=3/8
0.372=372/1000
37%=37/100
Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:
17/48*6000=2125
3/8*6000=2250
372/1000*6000=2232
37/100*6000=2220
From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48. Thus, the greatest value is 3/8.
