Question

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

Answer 1

Level: Grade 7 Mathematics

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Steps & Solution:

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

`(p)/(r) =(6)/(4) =(3)/(2)` { the calculator of a certain proportionaility }

`p=(3)/(2) r`

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

`(r)/(p) =(4)/(6) =(2)/(3) \\r=(2)/(3) p`