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Every few years, Erik's entire family gets together for a family reunion. This year, Erik's parents are hosting, and they have to cook a lot of food to feed the crowd. Erik has volunteered to do the most tedious job: shelling peas. There is a proportional relationship between the amount of time (in minutes) Erik 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 = 0.2x[/tex].

How many pounds of peas does Erik shell in 15 minutes? Write your answer as a whole number or decimal.

[tex]\square[/tex] pounds

Answer :

To determine how many pounds of peas Erik shells in 15 minutes, we use the provided relationship between time and the weight of peas. The relationship is expressed by the equation:

[tex]\[ y = 0.2x \][/tex]

where:
- [tex]\( y \)[/tex] is the weight of the shelled peas in pounds.
- [tex]\( x \)[/tex] is the time spent shelling peas in minutes.

In this scenario, we are given that [tex]\( x = 15 \)[/tex] minutes. We need to find the corresponding value of [tex]\( y \)[/tex].

1. Substitute the value of [tex]\( x \)[/tex] into the equation:
[tex]\[ y = 0.2 \times 15 \][/tex]

2. Perform the multiplication:
[tex]\[ y = 3.0 \][/tex]

Therefore, in 15 minutes, Erik shells 3.0 pounds of peas.

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