The total cost, C, for running an advertisement in a local newspaper, The Free Press, is made up of an initial cost of $12 plus a charge of $5 per day. A rival newspaper, The Banner, is currently running a special on advertisements at $8 per day with no initial cost.
a) Write an equation representing the cost in The Free Press.
b) Write an equation representing the cost in The Banner.
c) For each newspaper, create a table of values.
d) Use Geometer’s Sketchpad to graph each cost on the same set of coordinate axes.
e) Which newspaper would you use for an ad that ran 1 day?
f) Which newspaper would you use for an ad that ran 12 days?

Respuesta :

The equation representing the cost in The Free Press is 12 + 5d.

How to depict the equation?

The equation representing the cost in The Free Press will be:

= 12 + (5 × d)

= 12 + 5d

The equation representing the cost in The Banner will be:

= 8 × d

= 8d

The table of value for Free Press will be:

1st day = 12

2nd day = 17

3rd day = 22

4th day = 27

5th day = 32

The table of value for the Banner will be:

1st day = 8

2nd day = 16

3rd day = 24

4th day = 32

5th day = 40

The newspaper that will be used to run the advertisement for the first day is Free Press since it's cheaper.

The newspaper that will be used to run the advertisement for twelve days will be:

Free press = 12 + 5d

= 12 + 5(12)

= 12 + 60 = 72

The banner = 8d = 8 × 12 = 96

Therefore, for 12 days, Free Press is cheaper.

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