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We appreciate your visit to Read the description of a proportional relationship Every few years Franco s entire family gets together for a family reunion This year Franco s parents. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Read the description of a proportional relationship.

Every few years, Franco's entire family gets together for a family reunion. This year, Franco's parents are hosting, and they have to cook a lot of food to feed the crowd. Franco has volunteered to do the most tedious job: shelling peas. There is a proportional relationship between the amount of time (in minutes) Franco 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 = 0.4x[/tex].

How many pounds of peas does Franco shell in 50 minutes? Write your answer as a whole number or decimal.

[tex]\square[/tex] pounds

Answer :

To solve the problem, we need to determine the number of pounds of peas Franco shells in 50 minutes. We are given that there's a proportional relationship between the time Franco spends shelling peas (in minutes) and the weight of the peas he shells (in pounds). This relationship is described by the equation:

[tex]\[ y = 0.4x \][/tex]

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

We're given that [tex]\( x = 50 \)[/tex] minutes.

Now, let's use the equation to find [tex]\( y \)[/tex]:

1. Substitute [tex]\( x = 50 \)[/tex] into the equation:
[tex]\[ y = 0.4 \times 50 \][/tex]

2. Perform the multiplication:
[tex]\[ y = 20.0 \][/tex]

Therefore, Franco shells 20.0 pounds of peas in 50 minutes.

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