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 8,860.60 PHP.Find the constant of proportionality k.k = (If needed, round answer to 3 decimal places.)Using the k from above find the amout of PHP given that you have 500 USD to convert.you will receive PHP (If needed, round answer to 2 decimal places.)Enter DNE for Does Not Exist, oo for InfinitySuppose that zz varies jointly with xx and yy .Find the constant of proportionality kk if z=496.8z=496.8 when y=9y=9 and x=8x=8 .

Answer 1

a. k = 25.316

b. PHP = 12658

c. k = 6.9

Explanation:

Given that:

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 8,860.60 PHP

i.e 350 USD = 8,860 PHP

and USD varies directly proportional to PHP;

i.e PHP ∝ USD

Then ;

PHP = k(USD)

Making k (constant) the subject of the formula ;we have:

`k = (PHP)/(USD)`

`k = (8,860.60)/(350)`

k = 25.316

b)

Using the k from above find the amount of PHP given that you have 500 USD to convert.you will receive PHP

Now; Using the k from above ;we are to find the amount of PHP ; if USD = 500

PHP = k(USD)

PHP = 25.316(500)

PHP = 12658

(c) Suppose that z varies jointly with x and y .Find the constant of proportionality k if z=496.8 when y=9 and x=8

Here; z varies jointly with x and y

i.e z ∝ xy

z = kxy

where;

k = constant

k = z/xy

k = 496.8/8×9

k = 496.8/72

k = 6.9