What is K with proper units?
k = 1.2 miles per hour
The table shows the amount earned by Harry for selling ice cream. If y varies directly with x, find the missing y value in the table below.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 y 36
y = 28
If y varies directly as x, then when y = 9 then x = 3.
What is y when x = 12?
y = 36
Julie brought 5 pounds of cans to a recycling place and was paid $2. Find the unit rate. (cost per pound)
$0.40/pound
A ferry transports bikes to an island. What is k?
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
k = 0.5
Logan works at a local taco shop and makes $9 per hour. If Logans pay is varies directly with the number of hours he works, complete the table to represent his situation. (Find the missing y values.)
**There are TWO answers.**
Time (x) 0 1/2 1 9
Pay (y) y y 9 81
When x = 0, y = 0
When x = 1/2, y= 4.5
y varies directly as x. Find the values as indicated:
If y = -18 when x = 9, find y when x = 7
y = -14
What is k mean in y=kx?
Constant of Proportionality
Find the constant of proportionality with correct units
k =46 miles per hour
Drew paints portraits. If the number of portraits varies directly with the number of hours spent on each painting, find the missing x value in the table.
Time (in hours) = x Number of portraits = y
x 5
2 10
3 15
4 20
x = 1
5 portraits per hour
In the following problem, y varies directly as x, if y = -3 when x = -4.
Find x when y = 12
x = 16
What is the fraction version of...
-2.6666666....
-2 ⅔
Fred passed notes during class throughout the day. Find the constant of proportionality.
People (x) 8 9 10 11
Notes (y) 18 19 20 21
It is not proportional - there is no COP.
Alice bought old/used/cheap comics. Find the k (CoP with correct units) if the price in dollars varies directly with the number of comic books she purchased.
Number of comics (x) 6 12 18
Price (dollars) (y) 2 4 3
k = 1/3
y varies directly as x. Find the values as indicated:
If y = 6 when x = 9, find x when y = 12
x = 18
What are the two qualifications to tell if a line on a graph is proportional?
1. Straight Line
2. Passes through the origin
Find the constant of proportionality with correct units
60 miles per hour
Shawty earns $84 for a 7 hour shift at Chick-fil-la. The amount of money she earns, y, varies directly to the number of hours worked, x.
Show this proportional relationship by completing the table.
Time (in hours) = x Money Earned = y
0 _______
1/2 _______
5 _______
_______ 180
Time (in hours) = x Money Earned = y
0 ___0____
1/2 ___6____
5 ___60____
___15____ 180
On a graph, y varies directly with x, so that the following coordinate is used... (-12, 8).
Find the missing y coordinate in the following sequence.
(-18, y)
y = 12 OR (-18, 12)
What is a synonym for constant of proportionality?
Unit Rate or Direct Variation