Question

On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars write an equation of the form y = kx

Answer 1

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:

$k = \frac{\text{value in dollars}}{\text{number of dollars}}$

$k = \frac{9}{8}$

Therefore, equation of y = kx is given as:

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

$y = 1.125x$

To check the equation, use the another given value

24 euros were worth $27

$y = 1.125 \times 24\\\\y = 27$

Hence the equation y = 1.125x is correct