Finding the X
Joel doesn't like homework. He left 4 sheets of homework in his room every day. Eventually his mom found all 60 sheets in his room and got mad. How many days worth of homework did he leave?
25 days
Bill bought 5 cars over 2 days. How many cars did he buy?
10
Timmy eats 15 waffles in 5 minutes. How many waffles does he eat per minute
Bill drank 5 gallons of juice per hour.
What words represent the X, Y, and K, variables in this situation?
x= hours
y = juice drank
k = gallons of juice per hour
What are Equivalent Ratios??
ratios that are the same when we compare them
3
Squidward is playing his clarinet nonstop for 3 days. How many hours did he play his clarinet.
72
Doug Dimmadome says his name 60 times over a normal 5 day business week. How may times does he say his name per day?
12.
Rodrigue is a crime fighting dog, he sniffs out 5 criminals each night and the police chief thanks him by giving him treats.
x= nights
y = total criminals found
k = criminals found each night.
What is a Proportional Relationship
relationships between two quantities where their ratios are equivalent.
10 weeks.
Becky can't even her allowance this week. Her mom's only giving her 5 bucks a day. How much money will she have by saturday, assuming today is sunday.
35
Billy sprays an entire can of axe body spray on himself every hour. After a whole 7 hour school day how much spray has he caked himself in?
7
___ books read per ___.
Create an X variable for this situation
[Any number] per [any amount of time]
bob broke 5 laptops per day for a total of 35 laptops. How many days was he breaking laptops?
7
Scott ate 3 pints of icecream a day for 3 days. How much icecream did he eat
9 pints.
bob eats 836 pop tarts in 22 days. How many poptarts does he eat per day?
38
Dante is a professional clam seller. His business has been booming ever since he discovered he actually knows how to swim for more than 5 minutes. Every day, he goes out and catches 10 clams. How may clams does he catch per day?
x= days
y = total clams caught
k = clams caught per day.
What is a dependent variable?
The Y-variable, or the one that depends on another quantity to increase.
What is the equation to find the X variable?
y / k = x
What is the equation to find the Y variable?
x * k = y
Lexi likes to eat snowcones. Each month her mom lets her buy as many as she can with her saved allowance. This month, she bought 225 snowcones for $60. What was the cost per snowcone?
$0.26
Create your own -reasonable- proportional relationship.
Use your best judgement. It's required to have this format.
# ___ per ___.
What is a constant of proportionality?
The constant value (often written k) relating amounts that rise or fall uniformly together.