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3. A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts
There is a proportional relationship between the amount of raisins (cups) and the amount of peanuts p (cups), in this recipe

a. Write the equation for the relationship that has constant of
proportionality greater than 1 Graph the relationship

b. Write the equation for the relationship that has a constant of
proportionality less than 1. Graph the relationship

3 A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts There is a proportional relationship between the amount of raisins cups and the amou class=

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Level: Grade 7 Mathematics

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Steps & Solution:

1. The relationship that has constant of proportionality greater than 1

[tex]\frac{p}{r} =\frac{6}{4} =\frac{3}{2}[/tex] { the calculator of a certain proportionaility }

[tex]p=\frac{3}{2} r[/tex]

2. The relationship that has constant of proportionaility less than 1

[tex]\frac{r}{p} =\frac{4}{6} =\frac{2}{3} \\r=\frac{2}{3} p[/tex]

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