Rates, Ratios and Proportions
If a bag of trail mix contains 3 scoops of raisins and 6 scoops of M&M, what is the ratio?
3:6, 3/6, 3 to 6
If at age 8 Jack was 51 inches tall and then at age 11 he was 58 inches tall find the rate of change in his height between age 8 and 11?
58-51 inches/ 11-8 years = 2.3 inches per year
6in/80ft = 1in/x ft
6*x=80*1
6x=80
6x/6 = 80/6
x= 13 1/3
Is this a reduction or enlargement A (4,-8) and A'(3,-6) B(12,-4) B'(9,-3)
Reduction
What percent is 17 out 100
17%
If a sporting event sells 12,255 tickets at 5 games, find the rate?
2451 tickets/game
At 8 a.m. the temperature was 45 and at 12 p.m. the temperature was 57 find the rate of change in temperature?
45-57/8-12= 3
On a map 1 inch represents 4 feet. Jacob and Luna are finding the scale who is correct? Jacob 1:4 and Luna 1:48
Luna, scale is 1in= 4ft or 1=48ft
Name if this is a reduction or enlargement P(-1,2) P'(-3,6) Q(3,-3) Q'(9,-9)
Enlargment
Write 1/2 as a fraction
50%
Determine if these are proportional 3.5/8=2.6/4.9
No
Find the slope between these two points (-4,2) and (-2,-3)
-5/-6=5/6
Columbus, Ohio is approximately 70 miles from Dayton, Ohio. On a scale of the map 1 inch is 11 miles, how far are the two cities?
70/x =11/1
6.4 inches
If the water in a lake is 4.3 feet deep when it is 6.7 feet from shore about how deep will it be when it is 68.4 from shore? Round to one spot
43.9 feet deep
Write as a percent 17/20
85%
x= 9.73
Find the slope of a line with the point (-5,6) and (-8,9)
3/-3=-1
If the distance between two cities on a map is 3.2 centimeters, if the scale on the map is 1 centimeter equals 50 kilometers what is the actual distance between the two cities.
3.2/1=x/50
160km
If Bills shadow is 0.9m and the flagpole shadow is 39.6m. If Bill is 2.4 tall, how tall is the flag pole?
The flagpole is 105.6m tall
Write the ratio as a fraction 7:10
70%
Solve the proportion 18/x+5=2/3?
22
Find the slope of line with the point (-6,-2) and (2,0)
1/4
On a map the distance is 2 inches and in real life it is 5 miles, find the actual distance for all of these 12 in, 9 in, 2.5 in?
12 is 30 miles, 9 inches is 22.5 miles, and 2.5 inches is 6.25 miles
Use the scale factor of 2/7 to figure out the new points A(-2,3) B(4-7) C(-2,-5)
A'(-4/7, 6/7) B'(8/7, -2) C'(-4/7, -10/7)
Write 7/20 as a fraction
35%