Dracula
Proportional or Non-Proportional?
y = -5x + 60
Non-proportional
What are the THREE criteria for a proportional relationship?
1. Line passes through (0,0)
2. Represented by the equation y = kx
3. There is a constant of proportionality (k)
A pool pump fills 1/6 of the pool in 1/3 hour. How much of the swimming pool is filled in one hour?
The table below shows the relationship between the number of miles traveled, x, and the gallons of gas used, y. Create an equation that represents the relationship.
x. 35 70 105 140 175
y. 1 2 3 4 5
y = (1/35) x
Proportional or Non-proportional? Why?
x 0 1 2 3 4
y. 8 11 14 17 20
Non-proportional
Line passes through (0, 8)
Which situation is best described by Graph 2?
a. JJ purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.
c. Paula pays $0.50 per ticket at the fair.
Use Graph 1 on the board to find the constant of proportionality.
k = 10
Asher pays $156 every 6 weeks for piano lessons. What is the price per year for piano lessons? (Hint: How many weeks are there in a year?)
$1,352 per year ($26 every week)
A 5 pound carton of clementine oranges is priced at $4.30. What is the price per pound of clementine oranges?
$0.86 / pound
If 5/6 gallon of paint covers 1/4 of the house, then how much paint is needed for the entire house?
3 1/3 gallons of paint
A musician projects that he will earn $400.00 for every 1,000 songs downloaded. Create an equation that can be used to represent the proportional relationship between the number of songs, x, and the total earnings, y.
y = 0.4x
Which situation best represents the equation y = 2.5x?
a. Each day 2.5 inches of water evaporates from the experiment.
b. Two cartons of eggs ring up at the register for $2.50.
c. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
d. John is 2.5 times as big as his brother Sam.
a. Each day 2.5 inches of water evaporates from the experiment.