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Read the description of a proportional relationship:

Every few years, Omar's entire family gets together for a family reunion. This year, Omar's parents are hosting, and they have to cook a lot of food to feed the crowd. Omar has volunteered to do the most tedious job: shelling peas. There is a proportional relationship between the amount of time (in minutes) Omar spends shelling peas, [tex]x[/tex], and the weight (in pounds) of the peas he has shelled, [tex]y[/tex].

The equation that models this relationship is [tex]y=0.25x[/tex].

How many pounds of peas does Omar shell in 12 minutes? Write your answer as a whole number or decimal.

[tex]\square[/tex] pounds

Answer :

To solve the problem of how many pounds of peas Omar shells in 12 minutes, we start with the given proportional relationship, which is modeled by the equation [tex]\( y = 0.25x \)[/tex]. In this equation:

- [tex]\( y \)[/tex] represents the weight of the peas in pounds.
- [tex]\( x \)[/tex] represents the time in minutes that Omar spends shelling peas.

Since we are looking to find out how many pounds of peas are shelled in 12 minutes, we will substitute [tex]\( x = 12 \)[/tex] into the equation:

[tex]\[ y = 0.25 \times 12 \][/tex]

Now, let's perform the multiplication:

[tex]\[ y = 3.0 \][/tex]

Therefore, Omar shells 3.0 pounds of peas in 12 minutes.

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