Nokea
Which of the following is the independent variable in the equation below? f(t)=4t+9
- A. f
- B. 9
- C. t
- D. 4
Correct Answer: C
Rationale: The independent variable in a function is the variable that is being manipulated or changed to obtain different values. In the equation f(t) = 4t + 9, the variable 't' is the independent variable. It is the variable that the function f(t) depends on, and changing its value will result in different outputs for the function. The other choices, 'f', '9', and '4', are not the independent variable as they do not represent the variable that is being manipulated to determine the function's output.
You may also like to solve these questions
Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
- A. 6-Jan
- B. 4-Jan
- C. 4-Mar
- D. 8-Mar
Correct Answer: D
Rationale: After one friend eats a quarter of the burger, 3/4 of the burger remains. Dividing this equally between the other two friends means each receives 3/8 of the whole burger. Therefore, the correct answer is 8-Mar. Choice A (6-Jan), Choice B (4-Jan), and Choice C (4-Mar) are incorrect as they do not accurately represent the portion each of the other two friends receives after one friend consumes a quarter of the burger.
Identify the positioning of decimal places after the decimal point in this number: 0.08573
- A. 0 in the first decimal place
- B. 8 in the first decimal place
- C. 5 in the second decimal place
- D. 3 in the third decimal place
Correct Answer: C
Rationale: In the number 0.08573, the digits are positioned after the decimal point as follows: 0.08573. The correct answer is '5 in the second decimal place' because 5 is the second digit after the decimal point. Choice A is incorrect as there is no '0' after the decimal point. Choice B is incorrect as '8' is the first digit after the decimal point. Choice D is incorrect as '3' is the fourth digit after the decimal point.
How many feet are in 9 yards?
- A. 45 ft
- B. 18 ft
- C. 36 ft
- D. 27 ft
Correct Answer: D
Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to find out how many feet are in 9 yards, you multiply 9 by 3, which equals 27 feet. Choice A (45 ft) is incorrect as it miscalculates by multiplying 9 by 5 instead of 3. Choice B (18 ft) incorrectly multiplies 9 by 2. Choice C (36 ft) is incorrect as it doubles the answer of 18 feet, which is also an incorrect calculation.
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?
- A. 1/5
- B. 1/3
- C. 1/4
- D. 1/6
Correct Answer: A
Rationale: After one friend eats half of the pizza, the remaining half is divided equally among the three other friends. Each of the three friends receives 1/3 of the remaining half, not 1/6. Therefore, the correct answer is 1/3 of 1/2, which is 1/6 of the total pizza. The incorrect choices are:
B. 1/3 - This is the correct portion of the remaining pizza each friend receives, not 1/3.
C. 1/4 - This is not the accurate portion each friend receives after the first friend eats half of the pizza.
D. 1/6 - This is the portion of the total pizza each friend receives, not the portion each friend receives after the initial half is consumed.
As a company's stocks increase, production, sales, and investments also increase. Which of the following is the independent variable?
- A. Sales
- B. Stocks
- C. Production
- D. Investments
Correct Answer: B
Rationale: The independent variable in this scenario is 'Stocks.' An independent variable is the one that is manipulated or controlled by the experimenter. In this case, stocks are the factor that is changing and influencing the other variables - production, sales, and investments. Production, sales, and investments are dependent on the changes in stocks; hence, they are the dependent variables. While production, sales, and investments may increase as a result of changes in stocks, the stocks themselves are the driving force behind these changes, making them the independent variable.