For Blake's lemonade recipe, 12 lemons are required to make 16 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Lemons Cups
3 ____
12 16
20 ____
To find the equivalent ratios, we can set up a proportion:
3 lemons / x cups = 12 lemons / 16 cups
Cross-multiply:
3 * 16 = 12x
48 = 12x
x = 4
So for 3 lemons, you would need 4 cups of lemonade.
Now let's find the ratio for 20 lemons:
20 lemons / x cups = 12 lemons / 16 cups
Cross-multiply:
20 * 16 = 12x
320 = 12x
x = 26.67
So for 20 lemons, you would need 26.67 cups of lemonade.
Plotting the points on the coordinate axes provided:
(3, 4) and (20, 26.67)
COORDINATE AXES:
30 |
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20 |
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10 |
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5 10 15 20 25 30
Lemons