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.

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 class=

Respuesta :

The equation is w = 20/9p.

The equation to relate weight w to the price p is:  [tex]p = 0.45w[/tex]

Given data from the table is:

  • w =  3 pounds,     p = $1.35
  • w = 3.8 pounds,   p = $1.71
  • w = 5.2 pounds,   p = $2.34

Formation of equation:

[tex]\text{3 pound of \$1.31 price}\\\text{1 pound} = \$\dfrac{1.31}{3} = \$0.45 \: \rm price[/tex]

Thus, w pound of weight will cost:

[tex]w \times 1 \: \rm pound \: \rm in \: \: \$0.45 \times w \: \: \rm price[/tex]

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: [tex]p = 0.45w[/tex]

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