On a certain day suppose 103 yen the Japanese currency is eq

On a certain day, suppose 103 yen (the Japanese currency) is equivalent to the value of 1 dollar, and 0.78 euro (the European currency) is also equivalent in value to 1 dollar. Write a formula that expresses the number of yen, y, you can receive in exchange for d dollars. (y is a number of yen, not the value of a yen. Likewise d is the number of dollars.) Write a formula that expresses the number of Euros, u, you can receive in exchange for d dollars Suppose you want a formula that expresses the number of yen you can receive in exchange for u euro\'s. Which process will achieve that result? Set the right sides of the equations in parts (a) and (b) equal to each other Solve for d in the formula defined in part (b) and plug that result in for d in the formula defined in part (a) Solve for d in the formula defined in part (a) and plug that result in for d in the formula defined in part (b) Add both sides of the equations and factor out d on the right side Define a function g that represents how many yen you can receive for u euro\'s.

Solution

solution:

a) for 1 dollar , no. of yens = 103

for d dollars , no. of yens = 103d

and no. of yens=y

hence , y=103d

b) for 1 dollar , no. of euro =0.78

for d dollars , no. of euros =0.78d

and no of euros is u

hence, u=0.78d

d) g represents no. of yens received for u euros

from a and b

  y=103d and u=0.78d

hence y=103(u/0.78)

   y= (103/0.78)u= 132.05u

hence for u euros no. of yens received 135.05u=g