Mathematics: The table shows the weights of each bunches of bananas and the price of each bunch. identify the constant of proportionality. write an equation to relate weight, w, to the price, p.

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The table shows the weights of each bunches of

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sky724

11.03.2022

The equation to relate weight w to the price p is: p = 0.45w

Given data from the table is:w = 3 pounds, p = $1.35w = 3.8 pounds, p = $1.71w = 5.2 pounds, p = $2.34Formation of equation: $\text{3 pound of \$1.31 price}\\\text{1 pound} = \$\dfrac{1.31}{3} = \$0.45 \: \rm price$

Thus, w pound of weight will cost:

$w \times 1 \: \rm pound \: \rm in \: \: \$0.45 \times w \: \: \rm price$

Thus, w pound of weight will cost $0.45w price.

This fact can be converted to equation as:

price of w weight = p = 0.45w (in dollars)

Thus, the equation to relate weight w to the price p is: p = 0.45w

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The table shows the weights of each bunches of bananas and the price of each bunch. identify the constant of proportionality. write an equation to relate weight, w, to the price, p.

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