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When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received is directly proportional to the number of US Dollars to be exchanged. If 1,050 USD can be converted into 39,566.10 PHP.Find the constant of proportionality k.k=______(If needed, round answer to 3 decimal places.)Using the k from above find the amount of PHP given that you have 1,300 USD to convert.you will receive ________ PHP (If needed, round answer to 2 decimal places.)

When exchanging US Dollars USD for Philippine Peso PHP the number of Philippine Pesos received is directly proportional to the number of US Dollars to be exchan class=

Respuesta :

Let d represent the amount of US dollars

Let p represent the amount of Philippine Pesos

Given that p is directly proportional to d, the formula relating them is

p = kd

where

k is the constant of proportionality

From the information given,

when d = 1050, p = 39566.10

By substituting these values into the formula,

39566.10 = 1050k

Divide both sides by 1050

39566.10/1050 = 1050k/1050

k = 37.682

Thus, the formula becomes

p = 37.682d

We want to find p when d = 1300

By substituting,

p = 36.682 x 1300

p = 48986.6

Given that you have 1300 USD to convert, you will receive 48986.6

PHP

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