Answer:

Linear functions happen anytime you have a constant change rate. Pretty much any time your hear "________ per _______" or "_______ for every ________" there is a linear equation involved as long as that rate stays constant.

Linear equations all look like this y= mx + b.

M is your rate of change. Ask yourself, when that x thing goes up by 1, how much does y go up (or down)? This will be your m.

B is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:

1.) I buy a printer for P100 and the ink cartridges cost P25 each. What is the relationship between ink cartridges and total cost?

total cost = 25(cartridges I buy) + 100 or y = 25x + 100

2.) I get a P100 iTunes gift card for my birthday and then start buying P1 songs. What is the relationship between number of songs I buy and how much is left on the card?

amount left on card = -1(songs bought) + 100 or y = -x +100

3.) I spend P100 in one-time costs to open a lemonade stand. Every glass I of lemonade I make costs P 0.05 and I sell them for P 0.25. Assuming I sell all the lemonade I make, what is the relationship between number of glasses of lemonade I sell and the profit I make?

profit = 0.25(glasses I sell) - .05(glasses I sell) - 100

or y = .25x - .05x - 100 = .20x - 100

There's about a million examples of linear equations in "the real world." There's a bunch of algebra that the average Joe will never use, but this stuff shows up everywhere.

Answer:

YES,

THESE ARE THE STEPS IN SOLVING THAT TTPES OF PROBLEMS

Step 1: Identify and define the problem. State the problem as clearly as possible. ...

..Step 2: Generate possible solutions. ...

.Step 3: Evaluate alternatives. ...

..Step 4: Decide on a solution. ...

.Step 5: Implement the solution. ...

..Step 6: Evaluate the outcome.