A florist sells a dozen roses for $35.40. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y. How much would 18 roses cost?

The equation is

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 =

Total cost of the roses =

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

So, the equation is:

Therefore, the equation is And the cost of 18 roses is 53.10.

a. -0.3 > -0.33

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: