Question

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 350 usd can be converted into 14,834.40 php.

find the constant of proportionality k.
k = \boxed{} (if needed, round answer to 3 decimal places.)

using the k from above find the amout of php given that you have 800 usd to convert.
you will receive \boxed{} php (if needed, round answer to 2 decimal places.)

enter dne for does not exist, \infty for infinity

Explanation:

Step1: Define direct proportionality

Let \( y \) be PHP, \( x \) be USD. Direct proportionality: \( y = kx \).

Step2: Find \( k \) using given values

Given \( x = 350 \), \( y = 14834.40 \). Substitute into \( y = kx \): \( 14834.40 = k \times 350 \). Solve for \( k \): \( k=\frac{14834.40}{350} \approx 42.384 \).

Step3: Calculate PHP for 800 USD

Use \( y = kx \), \( k = 42.384 \), \( x = 800 \). So \( y = 42.384 \times 800 = 33907.20 \).

Answer:

First part (k): \( 42.384 \)
Second part (PHP for 800 USD): \( 33907.20 \)