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
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.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
-
Q #1: A sweater that normally sells for $95 is marked 30% off. Which of the following estimates the sale price of the sweater?
A. $67
B. $30
C. $22
D. $63
Answer Explanation
The selling price of the sweater is marked price less the mark off value.
Mark off value=mark off rate*original price
Mark of value=30% of $95
Mark of value=0.30*$95=$28.50
Now, find the selling price of the sweater
Selling price= marked price-mark off value
Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.
-
Q #2: A circle has an area of 9 (pi) in2. Which of the following is the circumference of the circle in terms of pi ((pi))?
A. 12 π in
B. 6 π in
C. 9 π in
D. 3 π in
Answer Explanation
We need to find the radius of the circle from the given value of area. Then, the radius of the circle will be used to find the circumference of the circle.
The first step is to find the radius, r of the circle as
Thus, the circumference of a circle whose area is \(9\pi\ in\ ^2\)is 6
in. -
Q #3: Twelve less than thrice a number Which of the following translates the phrase above into a mathematical expression?
A. 3x - 12
B. 12 - 3x
C. 12x - 2
D. 3x + 12
Answer Explanation
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
-
Q #4: 3 (x-2) = 18 Solve the equation above for x. Which of the following is the correct answer?
A. 8
B. -5
C. 7
D. 4
Answer Explanation
We solve for the value of x by following the order of operations
3(x-2)=15
Divide both sides of the equation by 3
Add 2 to both sides of the equation
Thus, the value of x is 8.
-
Q #5: 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.
-
Q #6: A large pizza has a diameter of 12 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 24 πi n2
B. 48 π in2
C. 18π in2
D. 36 π in2
Answer Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter
Next, find area of the pizza using the radius of 6 inches
Substituting r=6 in the equation of the area of a circle
Thus, the pizza has an area of 36 π in2.
-
Q #7: One gallon of cleaning solution requires 10 oz of ammonia. If the maintenance department needs 51 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 510 gallons
B. 51 gallons
C. 510 oz
D. 51 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 10 oz of ammonia. Expressing this mathematically yields two options:
\(\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\) or \(\frac{1\ gallon\ of\ solution}{10\ oz\ of\ ammonia}\)
Now we find how much ammonia is needed using option two.
\(51\ gallon\ of\ solution\ *\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\ =\ 510\ oz\ of\ ammonia\)
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 510 oz of ammonia.
-
Q #8: How many yards are in 27 feet?
A. 3 yards
B. 18 yards
C. 6 yards
D. 9 yards
Answer Explanation
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:
Thus, 9 yards is equal to 27 ft.
-
Q #9: 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%.
-
Q #10: 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.
