Ratios And Proportional
Y=kx X=Y/K K=Y/x
Constant of proportionality
Unit Rate
For example, 60 miles in 2 hours is a rate. For example, 30 miles in 1 hour, or 30 miles per hour, is a unit rate.
When rates are a quantity of a single unit, such as 2 karmas per info bell or 5 births per seconds, they are named unit rates. If you have a multiple-unit rate such as 20 students for every 3 info bells and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
The constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.Factor - any of the numbers (or symbols) that form a product when multiplied together
K=yx is the equation to find the constant of proportionality which is the k
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These equations help solve problems. If you don't know the K (or the constant) you do the equation K=y/x
If you don't know the "y" you use the equation Y=kx
And finally if you don't know the "x" you use the equation X=y/k
These equations can help you with any problems. The only operators you need to use is divide.
A graph is used to show the x and y and will help you find the k value.To find it is proportional it needs to pass the origin and go in a straight line.
A table is also used to find the k value using the x and y value.To find if it is proportional or not you need to see if there is a number which keeps on being multiplied by the y and x.
Shmoritos are $4.50/12 oz, while Shmingles are $2.50/7.75 oz.Shmunkin Donuts offers a baker's dozen (12 doughnuts) for $4.94. What is the unit cost?
Scaling
Definition: The number multiplied to relate the first shape
to the second.
Ex: If you double something, then the scale factor is 2
You can only multiply when you scale
Solve: The red triangle is 4 from the bottom and 5 on the side, and the blue is 8 on the bottom, and 10 on the side.
Answer: The scale factor is 2