Question

A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price. Write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y. What is the cost of 18 roses

Answer 1

Answer:

The equation is  $y=2.95x.$

The cost of 18 roses is 53.10.

Step-by-step explanation:

Given:

A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.

Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.

1 dozen = 12.

Now, to get the cost of 18 roses we use unitary method:

If 12 roses cost = 35.40.

So, 1 roses cost = 2.95.

Thus, 18 roses cost = 53.10.

Therefore, the cost of 18 roses = 53.10.

Now, to write an equation the relationship between the number of roses and the total cost of the roses:

Cost of per rose = 2.95.

As, given in question:

Number of roses = $x.$

Total cost of the roses = $y.$

Total cost of the roses = Cost of per rose × Number of roses.

So, the equation is:

$y=2.95\times x$

$y=2.95x.$

Therefore, the equation is $y=2.95x.$ And the cost of 18 roses is 53.10.