Rate of Change, Constant of Proportionality, Convert Measurements

a constant ratio or unit rate of proportion

• origin

• extremes

• constant of proportionality

• ordered pair

to change a measurement to an equivalent measurement in different units

• scale up

• scale down

• cross multiply

• convert

the equation used to represent the proportional relationship between 2 values, where x and y are the values that vary and k is the constant of proportionality

• constant of proportionality

• Y = K X

• proportion

• means

Describes the constant ratio of two proportional quantities, usually represented by x and y such as y = kx.  It is also known as the constant of variation or unit rate.

• Metric System

• Constant of Proportionality

• Conversion Factor

• Measurement System

• 2.5

• 3

• 7.5

• 10

Mathematical Equivalence

ON

Which of the following rates of change represents the graph shown?

• 2 boys for every 1 girl

• 0.5 boys for every 1 girl

• 6 boys for every 1 girl

• 3 boys for every 1 girl

• £1.00

• £1.25

• £1.50

• £1.75

A cyclist travels 90 kilometers in 3 hours. What is the cyclist's speed in kilometers per hour?

• 25

• 30

• 35

• 40

The graph shows the distance a boat is traveling over time. Does the boat travel at a constant speed or a variable speed? How fast is the boat traveling?

• Constant speed; 50 miles per hour

• Constant speed; 60 miles per hour

• Constant speed; 100 miles per hour

• Variable speed