Question

Describe several real world situations can be modeled by equations of the form Y equals MX plus be or Y equals MX explain how the latter equation represents a proportional relationship

Answer 1

The linear equation represents y = mx + b describes several real world situations such as

• Relation between printer and ink cartridges,

• Relationship between number of songs and how much is left on the card.

Step-by-step explanation:

Linear equations  y = mx + b.  

m is your rate of change.

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:  

•  I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.

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

• I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the 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