Independent Variable
The independent variable is represented by what?
The dependent variable is represent by what?
What is " x ".
The dependent variable is represented by what?
What is " y "
What is F(4) in the equation f(x) = 2x + 4?
What is 12.
Barry is hosting a potluck dinner for his book club. The number of chairs he will need depends on the number of members who attend.
c = the number of chairs Barry will need
m = the number of members who attend the potluck
Which of the variables is independent and which is dependent?
m = the number of members who attend the potluck is the independent variable
c = the number of chairs Barry will need is the dependent variable
The dependent variable is dependent on the what?
The independent variable.
What is the definition of independent variable?
The input of the function, x.
What is the definition of dependent variable?
The output of a function, y.
Let f(x) = -2x - 5. If f(x) = -25 what is x?
x = 10
Mia baked a pan of brownies for a potluck. The number of people in attendance will determine how many squares she cuts the brownies into.
p = the number of people attending the potluck
s = the number of squares Mia cuts the brownies into
Which of the variables is independent and which is dependent?
p- the number of people attending is your independent variable
s- the number of squares Mia cuts the brownies into is your dependent variable
Write an equation including an independent and dependent variable.
Answers vary.
The fluffiness of the cake depends on the amount of eggs in the batter. What is the independent variable?
The number of eggs.
A large food company is considering entering the health and nutrition sector. Their R&D food scientists have developed a protein supplement that is designed to help build muscle mass for people that work out regularly.
They randomly assign half of the participants to take the recommended dosage of their supplement every day for three months after each workout. The other half takes the same amount of something that looks the same but actually does nothing to the body.
At the end of three months, the muscle mass of all participants is measured.
What is the independent variable?
The independent variable is the amount of supplement.
The dependent variable is the amount of muscle.
Let y = 7x + 4. What is x when y = 18?
What is 2?
In hockey, the number of goals a team has scored determines that team's score.
g = the number of goals a team has scored
s = the team's score
Which of the variables is independent and which is dependent?
g- the number of goals a team has scored is the independent variable
s- the team's score is the dependent variable.
Muneera is planning a 300km t trip. She wants to write an equation that shows how many hours the trip will take (t) in terms of the rate at which she travels (r).
How should Muneera write her equation?
300/r = t
Nancy has a test next week and needs to do well in order to pass her exam. She hears that doing her homework will help improve test scores. What is the independent variable in this scenario?
Time spent doing her homework.
Let y = 7x + 2x2 - 7. If the value of the independent variable is 4, what is the value of the dependent variable?
The dependent variable is 53?
If f(x) = x3 + 1, then what is f(3).
What is 28?
Seth is planning a route for a train that travels at a constant rate of 220 kilometers per hour. They want to write an equation that shows how many hours (t) a trip takes in terms of the trip's distance (d)
How should Seth write their equation?
t = d/220
A well-known fast-food corporation wants to know if the color of the interior of their restaurants will affect how fast people eat. Of course, they would prefer that consumers enter and exit quickly to increase sales volume and profit.
So, they rent space and create three different simulated restaurant interiors of different colors.
Then they randomly select shoppers to eat for free in one of the three rooms. Each shopper is given a box of the same food and drink items and sent to one of the rooms. The researchers record how much time elapses from the moment they enter the room to the moment they leave.
Which is the independent variable? Color or speed of eating
The dependent variable is speed of eating.
You are doing chores around the house to earn money. You earn $10/hour for doing chores. What is the independent variable?
The independent variable is the time spent doing chores. This is the variable you have control over.
The dependent variable of f(x) = (3/4)x + 2x + 3 is 4, what is the value of the independent variable?
What is 4/11?
In which function does f(0) = 5?
A) f(x) = -3x + 8
B) f(x) = 5x
C) f(x) = 2x + 5
D) f(x) = x - 5
What is c?
Myra is 5 years younger than her sister Talat. Myra wants to write an equation for her own age (m) given Talat's age (t).
How should Myra write her equation?
m = t - 5
A sports medicine researcher has been hired by Gatorade to test the effects of its sports drink on athletic performance. The company wants to claim that when an athlete drinks Gatorade, their performance will improve.
They will measure the effects of Gatorade based on evaluation of heart rate. They choose athletes to test the theory. Each athlete will run on a treadmill for one hour while their heart rate is tracked.
Looking at the variables of heartrate and Gatorade:
Which value is the dependent variable?
Which value is the independent variable?
The independent variable is Gatorade.
The dependent variable is heartrate.