when eric makes a small batch of salsa he uses 1 cup of chopped onions and 3 cups of chopped tomatoes he wants to know how much of each ingredient to use in larger batches
find the number of cups of tomatoes eric needs if he uses 2 cups of onions
onions tomatoes
1 3
2 ?
To find out the amount of tomatoes Eric needs if he uses 2 cups of onions, you can set up a proportion:
1/3 = 2/x
Cross multiply:
1x = 6
x = 6
So, Eric would need 6 cups of chopped tomatoes if he uses 2 cups of chopped onions.
how many cups of tomatoes would eric need if he uses 3 cups of onions
To find out how many cups of tomatoes Eric would need if he uses 3 cups of onions, you can set up a proportion:
1/3 = 3/x
Cross multiply:
1x = 9
x = 9
So, Eric would need 9 cups of chopped tomatoes if he uses 3 cups of chopped onions.
what about 4 cups of onions
To find out how many cups of tomatoes Eric would need if he uses 4 cups of onions, you can set up a proportion:
1/3 = 4/x
Cross multiply:
1x = 12
x = 12
So, Eric would need 12 cups of chopped tomatoes if he uses 4 cups of chopped onions.
plot each orders pair in the coordinate plane to show the ratio of onions to tomatoes in each batch
To plot each ordered pair in the coordinate plane to show the ratio of onions to tomatoes in each batch:
For the orders pairs:
(1, 3) - 1 cup of onions, 3 cups of tomatoes
(2, 6) - 2 cups of onions, 6 cups of tomatoes
(3, 9) - 3 cups of onions, 9 cups of tomatoes
(4, 12) - 4 cups of onions, 12 cups of tomatoes
You can plot these points on the coordinate plane where the x-coordinate represents the cups of onions and the y-coordinate represents the cups of tomatoes.
- (1, 3) - Start at (0,0), move 1 unit right, 3 units up.
- (2, 6) - Move 2 units right, 6 units up from (0,0).
- (3, 9) - Move 3 units right, 9 units up from (0,0).
- (4, 12) - Move 4 units right, 12 units up from (0,0).
Connect these points, and you should see a linear relationship showing the ratio of onions to tomatoes in each batch.
anik uses 8 cups of mango and 2 cups of juice when he makes mango lassi for his family he made a table to show how much of each ingredient to use to make different sized batches
mango(cups) juice(cups)
4 1
8 2
12 3
16 4
plot each ordered pair in the coordinate plane to show the ratio of cups of mango to cups of juice in each batch
To plot each ordered pair in the coordinate plane to show the ratio of cups of mango to cups of juice in each batch:
For the ordered pairs:
(4, 1) - 4 cups of mango, 1 cup of juice
(8, 2) - 8 cups of mango, 2 cups of juice
(12, 3) - 12 cups of mango, 3 cups of juice
(16, 4) - 16 cups of mango, 4 cups of juice
You can plot these points on the coordinate plane where the x-coordinate represents the cups of mango and the y-coordinate represents the cups of juice.
- (4, 1) - Start at (0,0), move 4 units right, 1 unit up.
- (8, 2) - Move 8 units right, 2 units up from (0,0).
- (12, 3) - Move 12 units right, 3 units up from (0,0).
- (16, 4) - Move 16 units right, 4 units up from (0,0).
Connect these points, and you should see a linear relationship showing the ratio of cups of mango to cups of juice in each batch.