Do 9/12 and 6/8 form a proportion? How do you know?
Yes! They are both equivalent to 3/4.
100
Solve 15/2 = 30/y
y= 4
100
How do you find the slope of a line?
Find two points and find the change in y/change in x.
100
Tell whether x and y show direct variation. Explain
x+y -1 = 3
When you solve for y, the equation is y = 4-x This does not show direct variation (y = kx)
200
What is the unit rate?
6.4 revolutions in 2 and 2/3 seconds
2.4 revolutions per second
200
Do 4/9 and 2/3 form a proportion?
no
200
Solve x/4 = 2/5
x= 1.6
200
What is the slope of a line that passes through (1,1) and (-3, -3)?
slope = 1
200
Tell whether x and y show direct variation. Explain.
x = 8y
Yes! This is equal to y = (1/8)x
300
What is the unit rate?
960 calories to 8 servings of the meal
120 calories to 1 serving
300
Do 8/50 and 4/10 form a proportion?
no
300
Solve 8/20 = 6/w
w= 15
300
What is the slope of a line that passes though (3,2) and (-3, -2)
slope = 2/3
300
Does x + y = 6 show direct variation? Explain.
No, y = x + 6 is not in the form y = kx
400
There are 15 orangutans and 25 gorillas in a nature preserve. One of the orangutans swings 75 feet in 15 seconds on a rope.
a. What is the ratio of orangutans to gorillas?
b. How fast is the orangutan swinging?
a. 3: 5
b. 5 ft per second
400
Do 32/40 and 12/15 form a proportion?
yes!
400
Solve (s+1)/4 = 4/8
s=1
400
What is the slope of a line that passes through (1, 3) and (-2, -3)?
slope = 2
400
Does x/y =20 show direct variation? Explain
Yes, this is equal to y = (1/20) x, which is the direct variation form.
500
You mix 2/5 cup of red paint for every 1/4 c. blue paint to make 1 and 5/8 gallons of purple paint.
How much red paint and how much blue paint do you use?
16 cups of red paint and 10 cups of blue paint.
500
You are 13 years old and your cousin, Andy is 19 years old. As you grow older, is your age proportional to your cousin's age? Explain.
No, the ratios are not equivalent
13/19 does not equal 14/20 etc.
500
There are 180 white lockers in the school. There are 3 white lockers for every 5 blue lockers. How many total lockers are in the school?
480 lockers
500
What is the slope of a line that passes through (2, 1.5) and (-4, -3)?
Slope = 3/4
500
Does, y-x = 0 show direct variation?
Yes, this is in the form y = x or y = 1x, which is the direct variation form.