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
Plotting the ordered pairs in the coordinate plane gives us the following ratios:
(4, 1)
(8, 2)
(12, 3)
(16, 4)
These points all lie on a straight line passing through the origin, suggesting a constant ratio of 4:1 cups of mango to cups of juice in each batch.
which ordered pair shows an equivalent ratio of cups of mango to cups of juice?
the responses are
20, 5
9, 5
10, 6
30,1 0
To find an equivalent ratio, we need to simplify each ordered pair by dividing both the cups of mango and cups of juice by the same number until the ratio is in its simplest form.
Let's simplify each option:
1. (20, 5) simplifies to 4:1
2. (9, 5) does not simplify to a whole number ratio
3. (10, 6) simplifies to 5:3
4. (30, 10) simplifies to 3:1
The pair (20, 5) represents an equivalent ratio of cups of mango to cups of juice, which is the same as the original ratio of 4:1.