To determine the cost of a laptop, the seller considers the brand of the laptop, the tax rate, and the memory size. Which of the following is the dependent variable?
Cost of a laptop
Tax rate
Memory size
Brand of the laptop
Correct Answer : A
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
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Related Questions
Correct Answer is A
Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
Correct Answer is D
Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
Correct Answer is C
Explanation
We follow the order of operations to solve the given expression. The order of operations is PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)
First, we start with the numerator and solve it as follows
[3(6+5*4)]
We start with multiplication in parenthesis, 5*4=20. The expression becomes
[3(6+20)]
Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
The expression reduces into 6.
Correct Answer is C
Explanation
The mean of a data set is the sum of all scores divided by the number of tests.
Total test scores = 83+86+76+88+97 = 430
Number of tests = 5
Mean test score = 430/5 = 86
The mean test score is 86.
Correct Answer is D
Explanation
We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.
If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 252 students will enroll for a radiologic program.
Correct Answer is D
Explanation
The probability of finding a green ball is given by
Â
Total number of balls in the bag=6+8+3=17 balls
Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.
Correct Answer is B
Explanation
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
The absolute conditions are:
If   , a>0, then u=a or u=-a
In this case a=10, which is greater 0.
The first condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
The second condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
Then, the value of x is 3 or -2.
Correct Answer is D
Explanation
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,
If we let x be the minimum length of the ramp. Then,
Substituting the value of slope into the above equation results in,
Solve for value of x by cross-products
X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.
Correct Answer is B
Explanation
We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.
First, express Japheth’s uncle’s age in terms of Japheth’s age as follows
Japheth’s age=k
Japheth’s uncle’s age, u = 3k-10.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.
Correct Answer is A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
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