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create two scenarios of your own that involve relations in real life. Describe the scenarios in detail, including a description of the two variables involved and data for each of the variables. Then create either a table, a mapping diagram, or a graph to represent the data in each scenario. Include at least three data points in your representation. Use a different way to represent the relation for each of your scenarios.

Answer :

Here's one example.

1) Catering Costs

"celebrations" offers catering services. They charge 30 dollars initially, and 1.5 dollars per person.

a) C representing cost and P representing people. The equation of this relation is C = 1.5p + 30

b)  C   P
    32   1
  33.5  2
    35   3
  36.5  4

(The table can be used to make points)
(p,C)

c) You can rewrite this in standard form.
  
   C = 1.5t + 30
   0 = 1.5t - C + 30
-30 = 1.5t - C
 30 = -1.5t + C

Another example:

2) Transportation.

A car is driving from City A to City B at a constant speed of 80km/h The distance away from both cities is 240km.

a) In which D represents distance in km and T represents time in hours, an equation that can represent the distance away from City B is D = -80t + 240

b) D   t
  160  1
   80   2
    0    3
  
(These can be used to make points)

c) You can rewrite in standard form.

D = -80t + 240
0 = -80t - D + 240
-240 = -80t - D
240 = 80t + D

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