Respuesta :
Question:
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
Answer:
y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.
Solution:
Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars
Let "y" be the value in dollars
Let "x" be the number of euros
We have to write a equation in form of y = kx
8 euros were worth 9 dollars
"k" is found as follows:
[tex]k = \frac{\text{value in dollars}}{\text{number of dollars}}[/tex]
[tex]k = \frac{9}{8}[/tex]
Therefore, equation of y = kx is given as:
[tex]y = \frac{9}{8}x[/tex]
[tex]y = 1.125x[/tex]
To check the equation, use the another given value
24 euros were worth $27
[tex]y = 1.125 \times 24\\\\y = 27[/tex]
Hence the equation y = 1.125x is correct
