Julio plans a diet to gain 0.2 kg a day. after 14 days he weighs 40 kg. write an equation in slope intercept form to model the situation and define your variables.

Step-by-step explanation:

Julio plans to gain 0.2 kg a day, so the rate of increase of weight is 0.2 kg per day.

The slope intercept form of an equation can be written as,

In our case, 'y' is the total weight, 'x' is the number of days, 'm' is the slope and 'c' is the initial weight.

It is found out that after 14 days he weighs 40 kg. So over 14 days Julio must have gained,

because he is gaining 0.2 kg per day after the diet plan. So initially (14 days ago) Julio weighed,

Now, we know the slope that is rate of change and that is 0.2 kg per day. We can form the equation as,

As we have already defined that 'y' is the final weight, 'x' is the number of days and 'c' (37.2) is the initial weight of Julio.

So the required equation is, .

include a picture of the drawing in order for me to

step-by-step explanation:

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: