Mrs. Tomas is installing a fence around the perimeter of her garden. The perimeter of the garden is 36 feet. Each section of the fence is 3 feet long and costs $24. Write an equation that can be used to find c, the cost of the sections of fence she needs for her garden, and then solve for c.

C = (36/3)* $24

C = $288

Step-by-step explanation:

In this question, we are asked to write an equation for cost c of the section of fence needed for the garden and the solve for the value c.

C is already assigned as the cost of the sections she needs for her garden.

We were made to understand that the perimeter of the garden is 36 feet, with a 3 feet each section. Now, what we need to do is to know the number of sections that we have. Since, each section is 3 feet, and the total perimeter is 36 feet, this means that the total number of sections needed would be 36/3. Each of the section as we were told costs $24, so we can then proceed to calculate the value of C from there.

C = (36/3)* $24

This is the equation that gives the cost. The actual value of the cost is thus:

C = 12 * 24 = $288

The total cost of the sections if the Fence is $288

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: