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4 years ago

Will mark brainliest Which table of ordered pairs represents a proportional relationship?

Mathematics

1 answer:

Flauer [41]4 years ago

4 0

Answer:

2y = x, which is a proportional relationship.

Step-by-step explanation:

See the table attached.

The table gives the ordered pair represents a proportional relationship.

Take at least two pairs of the value of x and y.

Let they are (6,3) and (10,5).

Now, the equation for the straight line passing through the two points is given by

$\frac{y - 5}{5 - 3} = \frac{x - 10}{10 - 6}$

⇒ 2(y - 5) = x - 10

⇒ 2y - 10 = x - 10

⇒ 2y = x

Hence, we can write x ∝ y and the constant of proportionality is 2. (Answer)

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3 years ago

At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the qua

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1) The demand equation is $x=-0.25p+300$

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, $p_1=\$900$ and $x_1=75\text{ pounds}$

and $p_2=\$956$ and $x_2=75-14=61\text{ pounds}$

To find the demand equation we apply two point slope form,

$(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)$

Substitute the values,

$(x - 75)=\frac{61-75}{956-900}\times(p-900)$

$(x - 75)=\frac{-14}{56}\times(p-900)$

$(x - 75)=\frac{-1}{4}\times(p-900)$

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$x=-\frac{1}{4}p+300$

$x=-0.25p+300$

The demand equation is $x=-0.25p+300$

2) For no consumers,

Substitute x=0 in demand equation,

$0=-0.25p+300$

$0.25p=300$

$p=\frac{300}{0.25}$

$p=1200$

The price when no consumers willing to buy this commodity is $1200.

3) For free,

Substitute p=0 in demand equation,

$x=-0.25(0)+300$

$x=300$

The quantity of the commodity would consumers take if it was free is 300 pounds.

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3 years ago

Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.

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Answer:

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Step-by-step explanation:

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