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Answer :
To find out how long it takes Tom to shell 6 pounds of peas, we start with the given proportional relationship between the time Tom spends shelling peas (in minutes), [tex]\( x \)[/tex], and the weight of the peas he has shelled (in pounds), [tex]\( y \)[/tex]:
[tex]\[
y = 0.4x
\][/tex]
Here, [tex]\( y = 6 \)[/tex] pounds, and we need to solve for [tex]\( x \)[/tex] (the time in minutes).
To find [tex]\( x \)[/tex], we can rearrange the equation to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{y}{0.4}
\][/tex]
Substitute [tex]\( y = 6 \)[/tex] into the equation:
[tex]\[
x = \frac{6}{0.4}
\][/tex]
Perform the division:
[tex]\[
x = 15
\][/tex]
Therefore, it takes Tom 15 minutes to shell 6 pounds of peas.
[tex]\[
y = 0.4x
\][/tex]
Here, [tex]\( y = 6 \)[/tex] pounds, and we need to solve for [tex]\( x \)[/tex] (the time in minutes).
To find [tex]\( x \)[/tex], we can rearrange the equation to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{y}{0.4}
\][/tex]
Substitute [tex]\( y = 6 \)[/tex] into the equation:
[tex]\[
x = \frac{6}{0.4}
\][/tex]
Perform the division:
[tex]\[
x = 15
\][/tex]
Therefore, it takes Tom 15 minutes to shell 6 pounds of peas.
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