Question

On a recent day, 8 euros were worth $9 and 40 euros were worth $45. Enter an equation of the formy = kx to show the relationship between the number of euros and the value in dollars. Let y be the valuein dollars and x be the number of euros.The equation is y =

Answer 1

The equation between number of euro and number of dollars will be in the form y = kx.

y is the value in dollars and x is the value in euros.

From the information given,

8 euro = 9 dollar

dividing by '8' we can say:

8/8 euro = 9/8 dollars

1 euro = 9/8 dollar

This is the value for k.

Thus, we have:

$y=\frac{9}{8}x$

We were given 8 euro = 9 dollar and 40 euro = 45 dollars. Let's see if they are correct using our equation:

$\begin{gathered} y=\frac{9}{8}\times8 \\ y=9 \\ \text{Correct!} \\ y=\frac{9}{8}\times40 \\ y=45 \\ \text{Correct!} \end{gathered}$

Thus the correct relationship is:

$y=\frac{9}{8}x$