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Ghella [55]
3 years ago
6

When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received is directly proportional to t

he 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.)
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

(a)k=44.245

(b)39820.50 PHP

Step-by-step explanation:

<u>Part A</u>

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 \div 550\\k=44.245

The constant of proportionality k=44.245

<u>Part B</u>

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

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