Independent and Dependent Variable Math Function

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?

• the number of movies she rents

• the company that she rents from

• the money it costs

• There isn't one

The total cost, t, for frozen yogurt depends on the weight, w, in ounces. If Freddy's frozen yogurt shop uses the equation t=0.34w+2 to determine the cost of frozen yogurt which represents the dependent variable in this situation?

• 0.34

• t

• 2

• w

A landscaper charges each customer a flat rate of $150 to develop a plan for the landscaping of an outdoor space. The landscaper also charges $22.50 for each hour of manual labor invested in the landscaping. Write an equation to represent the relationship between the number of hours of manual labor, x, and the total cost, y, for the customer to plan and landscape an outdoor space.

Which table of values is represented by y = 3x - 2

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Malinda drains her 900 gallon swimming pool at a rate of 50 gallons of water per hour. Which linear equation represents this situation?

• y = -850x + 50

• y = -50x + 900

• y = -900x + 50

• y = -950x + 50

Jeremy is in a bike race against a professional bicyclist. He is given a 3 mile head start and he rides his bike at a constant rate of 15 miles per hour. Which linear equation represents Jeremy's situation?

• y = 15x + 3

• y = 3x + 15

• y = 12x

• y = 18x + 15

Consider the relation {(x, y) | y = x^2}. Is this a function?

• Yes, because for each x, there is only one y.

• No, because x can have multiple values for y.

• Yes, because x is positive.

• No, because it’s not a linear relation.

Given the set of ordered pairs {(1, 2), (3, 4), (5, 6)}, explain whether adding the pair (1, 7) would make the relation not a function.

• Yes, because 1 is already paired with 2.

• No, because 7 is a different number.

• Yes, because 7 is larger than 2.

• No, because each number is paired with exactly one.

Which of the following best describes the relationship between independent and dependent variables?

• The dependent variable is what you change, and the independent variable responds.

• The independent variable is what you change, and the dependent variable responds.

• Both the independent and dependent variables change randomly.

• Both variables remain constant.

A teacher conducts an experiment where students study for different amounts of time and then take a math test. She records their scores. What conclusion can she make about the independent and dependent variables?

• The independent variable is the test scores, and the dependent variable is the study time.

• The independent variable is the study time, and the dependent variable is the test scores.

• Both study time and test scores are independent variables.

• The study time has no impact on the test scores, so there are no dependent or independent variables.