- Question 2

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 41,552.70 PHP.

Find the constant of proportionality $\mathrm{k}$.
\[
k=\square \text { (If needed, round answer to } 3 \text { decimal places.) }
\]

Using the $\mathrm{k}$ from above find the amout of PHP given that you have 1,550 USD to convert.
you will receive PHP (If needed, round answer to 2 decimal places.)

Enter DNE for Does Not Exist, oo for Infinity
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Step 1 ：Given that the number of Philippine Pesos received is directly proportional to the number of US Dollars to be exchanged, we can express this relationship as follows: \(\frac{USD}{PHP} = k\), where \(k\) is the constant of proportionality.

Step 2 ：To find the constant of proportionality, we can substitute the given values into the equation: \(\frac{1050 USD}{41552.70 PHP} = k\).

Step 3 ：Solving for \(k\) gives: \(k = \frac{1050}{41552.70} = 0.0253\) (rounded to four decimal places).

Step 4 ：Now that we have the constant of proportionality, we can use it to find the amount of PHP given that we have 1550 USD to convert. We can express this as follows: \(PHP = USD * k\).

Step 5 ：Substituting the given values into the equation gives: \(PHP = 1550 * 0.0253 = 39.215 PHP\) (rounded to two decimal places).

Step 6 ：Therefore, if you have 1550 USD to convert, you will receive approximately \(\boxed{39.22 PHP}\).