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jenyasd209 [6]
3 years ago
13

Match the real-world problem to its constant of proportionality.

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Real word problem ⇒ constant of proportionality

$4.16 for 4 pounds of bananas ⇒ 1.04

$16.48 for 8 pounds of potatoes  ⇒ 2.06

$18.36 for 2 pizzas  ⇒ 9.18

2 cups of flour to make 36 cookies ⇒ 18

<em><u>Solution:</u></em>

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x,

if for x ∝ y

then,  x = y k

Where "k" is called constant of proportionality

k = \frac{x}{y}

<em><u>$4.16 for 4 pounds of bananas</u></em>

x = 4.16 and y = 4

k = \frac{4.16}{4} = 1.04

Thus constant of proportionality is 1.04

<em><u>$16.48 for 8 pounds of potatoes</u></em>

x = 16.48 and y = 8

k = \frac{16.48}{8} = 2.06

Thus constant of proportionality is 2.06

<em><u>$18.36 for 2 pizzas</u></em>

x = 18.36 and y = 2

k = \frac{18.36}{2} = 9.18

Thus constant of proportionality is 9.18

<em><u>2 cups of flour to make 36 cookies</u></em>

x = 36 and y = 2

k = \frac{36}{2} = 18

Thus constant of proportionality is 18

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What is the value of the expression 5x2 + 2x when x = 5?
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135

Step-by-step explanation:

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x = 5

To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.

  • \implies 5x^{2}  + 2x
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7 0
2 years ago
La Biblia dice que Matusalén vivió 979 años, mientras que Abraham vivió 175 años, escribe la fracción que indica la relación de
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A 175/979 = M

Step-by-step explanation:

Si Matusalén vivió 979 años y Abraham vivió 175 esto quiere decir que abraham vivio menos años que Matusalén.

Por lo que la fracción va a tener que ser menor que 1 ya que al multiplicarla por la edad de Matusalén nos tiene que dar la de Abraham.

Tenemos que encontrar una fraccion que multiplicada por 979 nos de 175.

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Tenemos que despejar la x y encontraremos el valor de la fraccion.

979 * X = 175

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2 years ago
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