Cara made modeling clay for her younger brother and his friends. They wanted orange clay to match their favorite football team's uniforms. To make the right shade of orange clay, she used 4 drops of yellow food coloring for every 5 drops of red food coloring.Complete the table.Drops of red food coloring 5 10 Drops of yellow food coloring 4 16 20Graph the data from the table.5101520253035404550481216202428323640xyDrops of red food coloringDrops of yellow food coloringSubmitQuestionsanswered12Timeelapsed00 11 47HR MIN SECSmartScoreout of 10037Need a break?
Question
Cara made modeling clay for her younger brother and his friends. They wanted orange clay to match their favorite football team's uniforms. To make the right shade of orange clay, she used 4 drops of yellow food coloring for every 5 drops of red food coloring.Complete the table.Drops of red food coloring 5 10 Drops of yellow food coloring 4 16 20Graph the data from the table.5101520253035404550481216202428323640xyDrops of red food coloringDrops of yellow food coloringSubmitQuestionsanswered12Timeelapsed00 11 47HR MIN SECSmartScoreout of 10037Need a break?
Solution
The table is based on the ratio of 4 drops of yellow food coloring to 5 drops of red food coloring.
So, if we have 10 drops of red food coloring, we would need 8 drops of yellow food coloring (because 42 = 8 and 52 = 10, maintaining the same ratio).
Similarly, if we have 16 drops of yellow food coloring, we would need 20 drops of red food coloring (because 44 = 16 and 54 = 20, maintaining the same ratio).
Lastly, if we have 20 drops of yellow food coloring, we would need 25 drops of red food coloring (because 45 = 20 and 55 = 25, maintaining the same ratio).
So the completed table would look like this:
Drops of red food coloring: 5, 10, 20, 25 Drops of yellow food coloring: 4, 8, 16, 20
To graph this data, you would plot the points (5,4), (10,8), (20,16), and (25,20) on a graph with the x-axis representing the drops of red food coloring and the y-axis representing the drops of yellow food coloring. Connect the points to form a line. This line represents the ratio of red to yellow food coloring needed to make the orange clay.
Similar Questions
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