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 550 USD can be converted into 24,334.75 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 900 USD to convert. You will receive ________ PHP (If needed, round answer to 2 decimal places.)

Answer 1

(a)k=44.245

(b)39820.50 PHP

Explanation:

Part A

Let the number of PHP =y

Let the number of USD =x

The number of Philippine Pesos(y) received is directly proportional to the number of US Dollars(x) to be exchanged.

The equation of proportion is: y=kx

If 550 USD can be converted into 24,334.75 PHP.

• x=550
• y=24,334.75

Substitution into y=kx gives:

`24,334.75=550k\\$Divide both sides by 550$\\k=24,334.75 / 550\\k=44.245`

The constant of proportionality k=44.245

Part B

The equation connecting y and x then becomes:

y=44.245x

If x=900 USD

Then:

y=44.245 X 900

y= 39820.50

Therefore, given that you have 900 USD to convert. You will receive 39820.50 PHP