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Answer :
To find out how long it takes Tom to shell 6 pounds of peas, we need to use the given proportional relationship between the time spent shelling peas (in minutes), [tex]\( x \)[/tex], and the weight of the peas shelled (in pounds), [tex]\( y \)[/tex]. The relationship is described by the equation:
[tex]\[ y = 0.4x \][/tex]
In this equation:
- [tex]\( y \)[/tex] is the weight of the peas (in pounds).
- [tex]\( x \)[/tex] is the time spent shelling peas (in minutes).
We need to determine the value of [tex]\( x \)[/tex] when [tex]\( y = 6 \)[/tex] pounds. So, we substitute [tex]\( y \)[/tex] with 6 in the equation:
[tex]\[ 6 = 0.4x \][/tex]
Now, we solve for [tex]\( x \)[/tex]:
1. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.4:
[tex]\[ x = \frac{6}{0.4} \][/tex]
2. Calculate the division:
[tex]\[ x = 15 \][/tex]
So, it takes Tom 15 minutes to shell 6 pounds of peas.
Therefore, the answer is:
[tex]\[ 15 \text{ minutes} \][/tex]
[tex]\[ y = 0.4x \][/tex]
In this equation:
- [tex]\( y \)[/tex] is the weight of the peas (in pounds).
- [tex]\( x \)[/tex] is the time spent shelling peas (in minutes).
We need to determine the value of [tex]\( x \)[/tex] when [tex]\( y = 6 \)[/tex] pounds. So, we substitute [tex]\( y \)[/tex] with 6 in the equation:
[tex]\[ 6 = 0.4x \][/tex]
Now, we solve for [tex]\( x \)[/tex]:
1. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.4:
[tex]\[ x = \frac{6}{0.4} \][/tex]
2. Calculate the division:
[tex]\[ x = 15 \][/tex]
So, it takes Tom 15 minutes to shell 6 pounds of peas.
Therefore, the answer is:
[tex]\[ 15 \text{ minutes} \][/tex]
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