On a recent day, 8 euros were worth $9 and 24 euros were worth 24 euros were worth $27. Write an equation of the form y=(k)x to show the relationship between the number of euros and the value in dollars. Where y is dollars and x is euros

Question

On a recent day, 8 euros were worth $9 and 24 euros were worth 24 euros were worth $27. Write an equation of the form y=(k)x to show the relationship between the number of euros and the value in dollars. Where y is dollars and x is euros

Answer 1

dollars/euros = 9/8 = 1.125

dollars = 1.125 euros
y = (9/8)x or y = 1.125x

Answer 2

To write the equation of the form y=(k)x, we need to determine the value of k, which represents the exchange rate between euros and dollars.

From the given information:
- 8 euros were worth $9
- 24 euros were worth $27

We can create two equations using this information:
1. 8 euros = $9
2. 24 euros = $27

Now, let's convert these equations into the form y=(k)x:

1. Rearrange the first equation:
8 = $9/k

2. Rearrange the second equation:
24 = $27/k

To find the value of k, we can set up an equation using the above equations:

8/k = 24/27

Let's solve for k:

Cross multiply the equation:
(8)(27) = (24)(k)

216 = 24k

Divide both sides by 24:
216/24 = k

k = 9

Therefore, the equation that represents the relationship between the number of euros and the value in dollars is:

y = 9x

Where y represents dollars and x represents euros.

Answer 3

To find the relationship between the number of euros and the value in dollars, we need to first determine the constant of proportionality, k.

Let's start by considering the given information. We know that 8 euros were worth $9, which can be written as (8 euros) = ($9). Thus, we can write the equation: y = kx, where y represents the dollars and x represents the euros.

Substituting the values we have in this equation, we get:
$9 = k(8)

Now, let's use the second set of information given: 24 euros were worth $27. Again, we can write this relationship as: (24 euros) = ($27). Plugging these values into the equation, we get:
$27 = k(24)

We now have two equations:

$9 = k(8)
$27 = k(24)

To find the value of k, we can divide the second equation by the first equation:

($27)/($9) = (k(24))/(k(8))
3 = 3k/1
k = 1

Therefore, the equation representing the relationship between the number of euros and the value in dollars is:
y = x