Show:
Ratios and Rates
Writing Proportions
Solving Proportions
Slope
Direct Variation
100
Write the ratio as a fraction in simplest form. 30 boys to 12 girls
5 / 2
100
Tell whether the ratios form a proportion. 1/5, 7/21
No
100
Solve the proportion. 5/7 = x/21
x = 3
100
What is the slope between the points (1, 5) and (2, 8)?
3
100
Two proportional quantities show direct variation if the graph ___________?
Passes through the origin.
200
Write the ratio as a fraction in simplest form. 51 correct : 9 incorrect
17 / 3
200
Tell whether the two rates form a proportion. 7 inches in 9 hours; 42 inches in 54 hours
Yes
200
Solve the proportion. 12/10 = x/15
x = 18
200
What is the slope between the points (0,0) and (2, 3)?
1.5 or 3/2
200
The equation for direct variation is: ____________.
y = kx
300
Find the unit rate. 180 miles in 3 hours
60 miles/hr
300
You can buy 3 t-shirts for $30. WRITE a proportion that gives the cost c of buying 5 t-shirts.
3/30 = 5/x or 3/5 = 30/x
300
Solve the proportion. x/8 = 7/10
x = 5.6
300
What si the slope between the points (-4, -1) and (1, 4)?
1
300
Tell whether x and y show direct variation. y - 4 = 3x
No
400
Find the unit rate. 297 words in 5.5 minutes
54 words per minute
400
2 boxes of cornstarch makes enough gak for 8 people to play with at a time. WRITE a proportion showing how many boxes of cornstarch, b, are needed to make enough cornstarch for 20 people.
2/8 = b/20 or 2/b = 8/20
400
Solve the proportion. 2x/5 = 9/15
x = 1.5
400
Find and interpret the slope for the given information. Hours, x: 0, 3, 6, 9 Dollars, y: $0, $18, $36, $54
$6/hr
400
Tell whether x and y show direct variation. x: 1, 2, 3, 4 y: 4, 8, 12, 16
Yes
500
DOUBLE JEOPARDY You make $35 for 5 hours of babysitting. Your brother makes $42 for 7 hours of raking neighbor's leaves. Who has the greater hourly rate of pay? What would you earn if you babysat for 8 hours at the same rate?
You do: $7 as opposed to your brothers $6. You would earn $56 for 8 hours of babysitting.
500
Use the table to write a proportion. Game 1 /// Game 2 Points: 6 /// 15 Shots: 9 /// x
6 points / 9 shots = 15 points / x shots or 6 points / 15 points = 9 shots / x shots
500
Solve the proportion. 12/4 = 2x/6
x = 9
500
DOUBLE JEOPARDY Graph (comparing two lines). Blue line = pizzas (1, 8) and (4, 32), Red line = spaghetti dinners (2, 20) and (5, 50). x: number sold y: profit Compare the steepness of the lines. What does this mean in the context of the problem? Find and interpret the slope of each line. How much more do you make for each spaghetti dinner than each pizza?
Red line is steeper = it costs more for spaghetti dinners. Blue line: $8/pizza. Red line: $10/spaghetti dinner. Spaghetti dinners cost $2 more than pizzas.
500
BONUS QUESTION - Extra point. Monica earns $100 after lifeguarding for 8 hours. David earns $88 for working for 6 hours. Who has the greater hourly rate? How much money would Monica make if she has the same hourly rate if she lifeguards for 10 hours?
David - $14.67 as opposed to Monica's $12.50. Monica would make $125 for 10 hours work.