Every few years, Brendan's entire family gets together for a family reunion. This year,
Brendan's parents are hosting, and they have to cook a lot of food to feed the crowd.
Brendan has volunteered to do the most tedious job:
shelling peas.
There is a proportional relationship between the amount of time (in
minutes)
Brendan spends shelling peas, x, and the weight (in pounds) of the peas he has shelled,
у
х
y
(minutes) (pounds)
2
1
4
2
6
3
12
6
What is the constant of proportionality? My

Every few years Brendans entire family gets together for a family reunion This year Brendans parents are hosting and they have to cook a lot of food to feed the class=

Respuesta :

Answer:

k = 0.5

Step-by-step explanation:

There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.

Therefore, y ∝ x

⇒ y = kx

Here, k = proportionality constant

From the given table,

If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),

1 = k × 2

k = [tex]\frac{1}{2}[/tex]

k = 0.5

Therefore, proportionality constant for the relationship is 0.5.