As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?
Amount of access fees
Amount of tuition
Number of student loans available
Number of credit hours
Correct Answer : D
A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.
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Correct Answer is D
Explanation
We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.
First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,
Kwame’s uncle’s age, u = 3k-17.
Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.
Correct Answer is A
Explanation
7/25 is the same as 7÷25. The value becomes 0.28.
Thus, 0.28 is the decimal equivalent of 7/25.
Correct Answer is D
Explanation
The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
Correct Answer is C
Explanation
We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.
Length of rectangle=(x+5)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+5)*x
A=x(x+5)
Thus, the area of the rectangle is x(x+5).
Correct Answer is C
Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus
The percent change in weight is 11% to the nearest whole number.
Correct Answer is A
Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[2(3+5*3)]
We start with multiplication in inner brackets, 5*3=15. The expression becomes
[2(3+15)]
Then, we conduct the addition of 3+15=18. Then, the expression yields
[2(18)]=2*18=36
Now, we solve for denominator, which is 12/2=6.
Thus, the expression is reduced into
The expression reduces into 6.
Correct Answer is C
Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
Correct Answer is B
Explanation
We use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 10 becomes
The approximate value is 44.7.
Correct Answer is C
Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).
Correct Answer is D
Explanation
We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent
We solve the value of x by cross-multiplying the equation above.
So, 152 students will enroll for a respiratory care program.
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