Solved on Nov 13, 2023

Exchange rate between USD and PHP is directly proportional. $850$ USD converts to $44,729.55$ PHP. Find the constant of proportionality $k$ , and the PHP amount for $1,400$ USD.
$\mathrm{k} = 52.621$
$PHP = 73,669.55$

STEP 1

Assumptions1. The exchange rate between USD and PHP is constant. . The amount of PHP received is directly proportional to the amount of USD to be exchanged.
3. The given exchange rate is850 USD to44,729.55 PHP.

STEP 2

We can express the direct proportionality as a mathematical equation. Let's denote the amount of USD as $x$ and the amount of PHP as $y$ . The constant of proportionality is $k$ .
$y = kx$

STEP 3

We can find the constant of proportionality $k$ by rearranging the equation to solve for $k$ .
$k = \frac{y}{x}$

STEP 4

Now, plug in the given values for $x$ (USD) and $y$ (PHP) to calculate $k$ .
$k = \frac{44,729.55}{850}$

STEP 5

Calculate the value of $k$ .
$k = \frac{44,729.55}{850} \approx52.623$ Rounding to three decimal places, $k \approx52.623$ .

STEP 6

Now that we have the constant of proportionality $k$ , we can use it to find the amount of PHP given that we have1,400 USD to convert. We can do this by multiplying the amount of USD by $k$ .
$PHP = k \times USD$

STEP 7

Plug in the values for $k$ and USD to calculate the amount of PHP.
$PHP =52.623 \times1,400$

STEP 8

Calculate the amount of PHP.
$PHP =52.623 \times1,400 \approx73,672.20$ Rounding to two decimal places, you will receive approximately73,672.20 PHP for1,400 USD.

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Exchange rate between USD and PHP is directly proportional. $850$ USD converts to $44,729.55$ PHP. Find the constant of proportionality $k$ , and the PHP amount for $1,400$ USD.
$\mathrm{k} = 52.621$
$PHP = 73,669.55$

STEP 1

Assumptions1. The exchange rate between USD and PHP is constant. . The amount of PHP received is directly proportional to the amount of USD to be exchanged.
3. The given exchange rate is850 USD to44,729.55 PHP.

STEP 2

We can express the direct proportionality as a mathematical equation. Let's denote the amount of USD as $x$ and the amount of PHP as $y$ . The constant of proportionality is $k$ .
$y = kx$

STEP 3

We can find the constant of proportionality $k$ by rearranging the equation to solve for $k$ .
$k = \frac{y}{x}$

STEP 4

Now, plug in the given values for $x$ (USD) and $y$ (PHP) to calculate $k$ .
$k = \frac{44,729.55}{850}$

STEP 5

Calculate the value of $k$ .
$k = \frac{44,729.55}{850} \approx52.623$ Rounding to three decimal places, $k \approx52.623$ .

STEP 6

Now that we have the constant of proportionality $k$ , we can use it to find the amount of PHP given that we have1,400 USD to convert. We can do this by multiplying the amount of USD by $k$ .
$PHP = k \times USD$

STEP 7

Plug in the values for $k$ and USD to calculate the amount of PHP.
$PHP =52.623 \times1,400$

STEP 8

Calculate the amount of PHP.
$PHP =52.623 \times1,400 \approx73,672.20$ Rounding to two decimal places, you will receive approximately73,672.20 PHP for1,400 USD.

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Exchange rate between USD and PHP is directly proportional. 850850850 USD converts to 44,729.5544,729.5544,729.55 PHP. Find the constant of proportionality kkk, and the PHP amount for 1,4001,4001,400 USD.k=52.621\mathrm{k} = 52.621k=52.621PHP=73,669.55PHP = 73,669.55PHP=73,669.55

STEP 1

Assumptions1. The exchange rate between USD and PHP is constant. . The amount of PHP received is directly proportional to the amount of USD to be exchanged.3. The given exchange rate is850 USD to44,729.55 PHP.

STEP 2

We can express the direct proportionality as a mathematical equation. Let's denote the amount of USD as xxx and the amount of PHP as yyy. The constant of proportionality is kkk.y=kxy = kxy=kx

STEP 3

We can find the constant of proportionality kkk by rearranging the equation to solve for kkk.k=yxk = \frac{y}{x}k=xy​

STEP 4

Now, plug in the given values for xxx (USD) and yyy (PHP) to calculate kkk.k=44,729.55850k = \frac{44,729.55}{850}k=85044,729.55​

STEP 5

Calculate the value of kkk.k=44,729.55850≈52.623k = \frac{44,729.55}{850} \approx52.623k=85044,729.55​≈52.623Rounding to three decimal places, k≈52.623k \approx52.623k≈52.623.

STEP 6

Now that we have the constant of proportionality kkk, we can use it to find the amount of PHP given that we have1,400 USD to convert. We can do this by multiplying the amount of USD by kkk.PHP=k×USDPHP = k \times USDPHP=k×USD

STEP 7

Plug in the values for kkk and USD to calculate the amount of PHP.PHP=52.623×1,400PHP =52.623 \times1,400PHP=52.623×1,400

STEP 8

Calculate the amount of PHP.PHP=52.623×1,400≈73,672.20PHP =52.623 \times1,400 \approx73,672.20PHP=52.623×1,400≈73,672.20Rounding to two decimal places, you will receive approximately73,672.20 PHP for1,400 USD.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Exchange rate between USD and PHP is directly proportional. $850$ USD converts to $44,729.55$ PHP. Find the constant of proportionality $k$ , and the PHP amount for $1,400$ USD.
$\mathrm{k} = 52.621$
$PHP = 73,669.55$

Assumptions1. The exchange rate between USD and PHP is constant. . The amount of PHP received is directly proportional to the amount of USD to be exchanged.
3. The given exchange rate is850 USD to44,729.55 PHP.

We can express the direct proportionality as a mathematical equation. Let's denote the amount of USD as $x$ and the amount of PHP as $y$ . The constant of proportionality is $k$ .
$y = kx$

We can find the constant of proportionality $k$ by rearranging the equation to solve for $k$ .
$k = \frac{y}{x}$

Now, plug in the given values for $x$ (USD) and $y$ (PHP) to calculate $k$ .
$k = \frac{44,729.55}{850}$

Calculate the value of $k$ .
$k = \frac{44,729.55}{850} \approx52.623$ Rounding to three decimal places, $k \approx52.623$ .

Now that we have the constant of proportionality $k$ , we can use it to find the amount of PHP given that we have1,400 USD to convert. We can do this by multiplying the amount of USD by $k$ .
$PHP = k \times USD$

Plug in the values for $k$ and USD to calculate the amount of PHP.
$PHP =52.623 \times1,400$

Calculate the amount of PHP.
$PHP =52.623 \times1,400 \approx73,672.20$ Rounding to two decimal places, you will receive approximately73,672.20 PHP for1,400 USD.