For a car traveling at 60 miles per hour, the function d = 60h shows the relationship between the time in hours, h, traveled and d, the distance traveled. Which of the following statements is true?
A. The time traveled depends on the distance traveled. <
Incorrect. Time and distance are the variables, but distance depends on time.
B. The distance traveled depends on the time traveled.
The distance traveled depends on the time traveled.
C. The speed of the car depends on the time traveled.
Incorrect. Speed is not a variable quantity in this problem.
D. The speed of the car depends on the distance traveled.
Incorrect. Speed is not a variable quantity in this problem.
To find c, the total cost of an order of T-shirts from a certain website, the equation c = 13.99n + 3.25 can be used, where n represents the number of T-shirts ordered and $3.25 represents the cost of shipping. If c is a function of n, which of the following best describes this relationship?
A. The value of n is constant in relation to c.
Incorrect. The value of n varies and therefore is not constant.
B. The value of n is dependent on c.
Incorrect. The number of T-shirts ordered, n, is the independent quantity.
C. The value of c is constant in relation to n.
Incorrect. The value of c varies and therefore is not constant.
D. The value of c is dependent on n.
Correct! The cost depends on the number of T-Shirts ordered.
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If y is a function of x in the equation y = 1 2x − 7, which statement is true?
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| A. The dependent variable, y, is 7 less than 1 2 the independent variable, x. |
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B. The independent variable, y, is 7 less than 1 2 the dependent variable, x. |
| C. The dependent variable, x, is 7 less than 1 2 the independent variable, y. |
| D. The independent variable, x, is 7 less than 1 2 the dependent variable, y. |
A.
Correct! The independent variable is x, and the dependent variable is y.
B.
Incorrect. The independent variable, y, is 7 less than 1/2 the dependent variable, x.
C.
Incorrect. The dependent variable is y.
D.
Incorrect. The equation shows that y is 7 less than 1/2 x.
The interest paid on a savings account is calculated according to the formula I = Prt where I is the amount of interest paid, P is the principal (the amount of money in the account), r is the interest rate as a decimal, and t is the amount of time the money is in the account. Which of the following statements is true?
A. The interest paid depends on the product of only the principal and the rate.
Incorrect. According to the formula the interest depends on the product of other three quantities.
B. The interest paid depends on the product of only the principal and the time.
Incorrect. According to the formula the interest depends on the product of other three quantities.
C. The interest paid depends on the product of the principal, the rate, and the time.
Correct! The interest depends on the product of the other three quantities.
D. The interest paid depends on the product of only the rate and the time.
Incorrect. According to the formula the interest depends on the product of other three quantities.
A furniture store had a 25% off sale on all mattresses. Which statement best represents the functional relationship between the sale price of a mattress and the original price?
A. The original price is dependent on the sale price.
Incorrect. The original price is set before the sale price; therefore it is the independent quantity.
B. The sale price is dependent on the original price.
Correct! The original price must be known before the sale price can be determined.
C. The sale price and the original price are independent of each other.
Incorrect. Since this is a functional relationship, one quantity must depend on another quantity.
D. The relationship cannot be determined.
Incorrect. Since this is a functional relationship, one quantity must depend on another quantity.