Question

Every few years, Malik's entire family gets together for a family reunion. This year, Malik's parents are hosting, and they have to cook a lot of food to feed the crowd. Malik has volunteered to do the most tedious job: shelling peas. There is a proportional relationship between the amount of time (in minutes) Malik spends shelling peas, x, and the weight (in pounds) of the peas he has shelled, y. x (minutes) y (pounds) 4 1 8 2 12 3 16 4 Write an equation for the relationship between x and y. Simplify any fractions. y=

Answer 1

`y = (1)/(4) x`

Explanation:

x (minutes) y (pounds)

4 1

8 2

12 3

16 4

y = mx + b

m = (2 - 1)/(8 - 4)

m = 1/4

y = (1/4)x + b

Use (4, 1) with x = 4 and y = 1.

1 = (1/4)(4) + b

1 = 1 + b

b = 0

Equation:

`y = (1)/(4) x`