Rational Numbers & Irrational Numbers
Irrational or Rational Number?
61π
Irrational Number
What is a linear function?
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable.
Mr. Smith wanted to see if the color of light shined on a plant had an effect on the number of leaves it had. He gathered a 2 groups of the same species of plants, gave them the same amount of water, and did the test for the same amount of time. On one group of plants he used white light. On the second group he changed the light color to red. What is the independent variable?
The independent variable is the red light.
1012 * 1035 = ?
1047
What is a unit rate?
A unit rate is a rate in which the denominator number is 1.
Irrational or Rational ?
20.455566...
Irrational
Is it a linear or non - linear function?
y = 2x + 1
Linear function
The independent variable is the ONE thing you _____.
change
5b 2 ⋅ 8b
40b3
It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
t = 6 / 7 hours = 51.5 minutes.
What is the difference between irrational and rational numbers?
An irrational number is a number which cannot be expressed in a ratio of two integers and is non-terminating but an rational number is a terminating number that can be expressed in a ratio of two integers.
Is it a linear or non-linear function?
5x = 6 + 3y
Linear function?
The variable that you measure is the what?
Dependent Variable
−15 + n = −9
6
A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled?
t = 3.6 hours.
Which two numbers are rational numbers?
6 ⁄31
57.013
39.604156...
88.507568...
6/31
57.013
What is a nonlinear function?
Nonlinear functions have a slope that varies between points.
Mr. S set up an experiment to see how the mass of a ball affects the distance it rolls off a ramp. Identify the dependent variable.
Distance traveled by the ball is the dependent variable.
a + 11 = 20
9
A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
t = 7 / 3 hours = 2.3 hours = 2 hours 20 minutes.
Why is 75 an rational number?
75 is an rational number because it can be expressed as an fraction, decimal, and a terminating decimal.
Nonlinear of linear function?
y = x^2
Nonlinear function
What effect does decreasing the temperature of a room have on a lifespan of a battery? Which variable is italic?
Independent variable
−7 + m = 8
m= 15
What is proportional relationships?
a proportional relationship between two variables is just a relationship where the ratio between the two variables is always going to be the same thing.