equivalent ratios
This ratio is equivalent to 2:3 when both sides are multiplied by 4.
Answer: What is 8:12?
This term describes the ratio used to enlarge or reduce the size of a shape in geometry.
What is a scale factor?
What makes a table proportional?
same K
Problem: A bike travels at a speed of 12 miles per hour. How far does it go in 3 hours?
Answer: It goes 36 miles. Y=12x
What makes a graph proportional ?
straight line that passes through the origin.
If the ratio 7:14 is equivalent to x:28, what is x?
What is 14?
A rectangle has dimensions of 4 cm by 6 cm. If the scale factor is 2, what are the new dimensions?
What are 8 cm by 12 cm?
A plant grows 4 centimeters per week. Create a table showing its height after 1, 2, 3, 4, and 5 weeks, starting from an initial height of 10 cm
After 1 week the height is 14 cm
After 2 weeks the height is 18 cm
After 3 weeks the height is 22 cm
After 4 weeks the height is 26 cm
After 5 weeks the height is 30 cm
Write an equation)Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes.
t=5d
An employee earns $15 per hour. How much will they earn after working 0, 4, and 8 hours? Plot the earnings on a graph.
0 hours works $0
4 hours works $60
8 hours worked $120
Points to plot :
(0,0)
(4,60)
(8,120)
What is an equivalent ratio for 7:8 using a factor of 5?
What is 35:40?
A sculpture is created with a scale factor of 1:5. If the sculpture is 10 inches tall, how tall is the actual sculpture?
What is 50 inches? (10 in × 5)
If a proportional table shows that 2 apples cost $3, what would be the cost of 8 apples?
What is 12$
Solve x:
3x+5=20
X=5
If 5 apples cost $3, how much would 15 apples cost? Represent this on a graph.
5 apples would cost $3
10 apples would cost $6
15 apples would cost $9
(5,3)
(10,6)
(15,9)
Pam is making fruit punch. The recipe uses 4 cups of orange juice and 3 cups of pineapple juice. If she wants to use 16 cups of orange juice, how many cups of pineapple juice does she need?
12 cups of pineapple juice.
A rectangle has a length of 8 cm and a width of 5 cm. If the rectangle is enlarged by a scale factor of 3, what will be the area of the new rectangle?
Original area 8X3= 24cm and 5x3 = 15cm New area 24x15=360cm
If a person reads 20 pages in 1 hour, fill out a table showing the total pages read after 1, 2, 3, 4, and 5 hours.
1 hour 20 pages will be read
2 hours 40 pages will be read
3 hours 60 pages will be read
4 hours 80 pages will be read
5 hours 100 pages will be read
A car travels at a speed of 60 miles per hour. How long will it take to travel 150 miles?
Equation: 150=60t
divide bot sides by 60
t=2.5 hours
Graph the following points (1,2), (2,4), (3,6), (4,8), (5,10), and (0,0). Is this graph proportional?
yes
A smoothie recipe calls for 3 parts yogurt, 2 parts milk, and 5 parts fruit. You want to make a batch using 30 parts of fruit. How much yogurt and milk do you need to keep the same ratio?
30 (desired fruit parts) divide 5 (original fruit parts) divide=6
3 (original yogurt parts)×6=18 parts of yogurt
2 (original milk parts)×6=12 parts of milk
A triangle has a base of 6 cm and a height of 8 cm. If the triangle is scaled down by a factor of 0.5, what is the area of the new triangle?
Solution:
original area = 0.5 x 6 x 8= 24 New base= 6 x 0.5= 3 cm
new height 8x 0.5 =4cm
new area 0.5 x 3x4=6cm
answer 6cm
If 3 cups of sugar are needed to make 24 cookies, fill out a table for the number of cookies made with 1,2,3,4, and 5 cups of sugar.
1 cups of sugar will make 8 cookies
2 cups of sugar will make 16 cookies
3 cups of sugar will make 24 cookies
4 cups of sugar will make 32
5 cups of sugar will make 40 cookies
Write a non proportional equation
ex: y=3x+5
A person drinks 1.5 liters of water per day. How much water will they drink in 1,5, and 10 days . graph the total water consumed?
(1,1.5) (5, 7.5) (10,15)