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?
A. Cost of a laptop
B. Tax rate
C. Memory size
D. Brand of the laptop
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.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A recipe calls for 3 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 9.58 mL
C. 10.49 mL
D. 14.79 mL
Answer Explanation
To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.
Two ways to convert between teaspoon and mL are:
Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 3 teaspoons equals 14.79 mL.
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Q #2: Solve for A in the equation below. Diagram:
A. A = t(kr+P)
B. A = (kr+P)/t
C. A = P-kr/t
D. A = kr-t/P
Answer Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
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Q #3: How many milliliters are there in 6.5 liters?
A. 0.65
B. 65
C. 650
D. 6500
Answer Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
Thus, 6.5 L is 6500 mL.
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Q #4: Which of the following is the independent variable in the equation below? A(f) = 92 + 2f
A. f
B. 2
C. A
D. 92
Answer Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
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Q #5: As the dollar rate increases in a day, the amount of investment, stock prices, and forex exchange deposit available also decreases. Which of the following is the independent variable?
A. Amount of investment
B. Dollar rate
C. Stock prices
D. Forex exchange deposit
Answer Explanation
Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
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Q #6: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 24 feet? (Round to the nearest tenth.)
A. 21.8 feet
B. 25 feet
C. 13.6 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Thus, the value of unknown side of the triangle is 21.8 feet.
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Q #7: There are 1200 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the radiologic technology program?
A. 216
B. 504
C. 228
D. 252
Answer 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.
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Q #8: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)
A. 38%
B. 22%
C. 19%
D. 29%
Answer Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)
Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
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Q #9: Japheth’s uncle is 10 less than three times Japheth’s age. Which of the equations represents Japheth’s uncle’s age (u) as it relates to Japheth’s age (k)?
A. u=10-3k
B. u=3k-10
C. k=3u-10
D. k=10-3u
Answer 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.
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Q #10: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 12 1/5 cups
B. 12 3/5 cups
C. 8 1/25 cups
D. 10 3/25 cups
Answer Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
