At a drive through restaurant juan’s family ordered a small drink and m medium drinks. alex’s family ordered m medium drinks and a large drink. write an algebraic expression that shows the total cost in dollars of both orders

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

Solution:

Given that  

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 x + m y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

= m x y + 1 x z

=my + z

So total cost of both order in dollars = x + my + my + z = x + 2my + z

Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.  

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.