Proportional relationships
Is this relationship proportional or not?
I graded 20 tests in 2 hours yesterday. Today I graded 5 tests in 1 hour.
Yes it is proportional
I have 2 black marbles, 3 blue marbles, 4 red marbles, and 1 green marble in a bag. What is the probability of getting a red marble?
4/10
Combine like terms
3x + 5 + x + 2
4x + 7
Is this a proportional relationship? Yesterday, I graded 6 exams in 1 hour. Today, I graded 10 exams in 2 hours.
Not proportional
I have 2 black marbles, 3 blue marbles, 4 red marbles, and 1 green marble in a bag. What is the probability of NOT getting a red marble?
6/10
Combine like terms
5 - x + 1 - 3x - 3 + 6
-4x + 9
Is this a proportional relationship?
x y
1 3
2 5
3 7
4 9
Not proportional- there is no common multiplier
I flip heads 5 times in a row. Does this mean I must get tails next time? Why or why not?
No because each flip is independent and previous outcomes don't affect new outcomes.
Combine like terms
4x - 2x + 2 - 4x + 9 - x
-3x + 11
Is this relationship proportional?
x y
3 21
5 35
2 14
-7 -49
I go to Olson's ice cream. I can choose between a dish or a cone. From there, I can choose between chocolate or vanilla ice cream. I get to choose 1 topping from sprinkles, hot fudge, caramel, or peanut butter. How many combinations can I choose from?
16 options
Combine like terms
10x - 20 + 6 - x + 5 - 3x + 7x
13x + (-9)