Rate of Change, Constant of Proportionality, Convert Measurements

A proportional graph ALWAYS...

• goes up, or is positive

• goes down, or is negative

• crosses through the origin

• crosses through the point (0,1)

The number k (or m) in the direct variation equation y = kx or y = mx

• dependent variable

• grass

• Inequality

• constant of proportionality

A value that does not change

• constant

• addition

• spring

• convert

Determine whether the set of numbers in the table is proportional or nonproportional. Then identify the constant of proportionality.

• Nonproportional

• Proportional; k = 18

• Proportional; k = 31

• Proportional; k = 15.5

Determine whether the set of numbers in the table is proportional or nonproportional. Then identify the constant of proportionality.

• Nonproportional

• Proportional; k = 3

• Proportional; k = 6

The local Rec League orders 8 soccer balls for every 12 students. The table shows how many soccer balls the league orders for a certain numbers of students. How many soccer balls do you predict the league would order for 48 students?

Express the ratio 8 quarts to 4 gallons in simplest form.

• 1:2

• 1:8

• 1:4

• 2:1

Convert 450 miles per hour to miles per minute. Enter only the number below. (no units and express and fractions as a decimal)

450 mi/hr = _____ mi/min.

A subway car can reach up to 75 miles per hour. How many feet per second is this? Enter only the number below (no units).

75 mi/hr = ______ ft/sec.

The average adult can walk approximately 11,616 feet per hour. How many centimeters per second is this? Round to the nearest hundredth if necessary.

• 98.35

• 193.6

• 5900.93

• 110.28