Consider the line y=-4/7x+4.

Mathematics

1 answer:

Wittaler [7]2 years ago

7 0

Answer:

1). y = -4/7x 2). y = 7/4x - 65/4

Step-by-step explanation:

1). When a line is parallel, the slope remains the same.

y = -4/7x + b

-4 = -4/7(7) + b

-4 = -4 + b

0 = b

The equation is simply y = -4/7x.

2). When a line is perpendicular, the slope becomes the exact opposite.

y = 7/4x + b

-4 = 7/4(7) + b

-4 = 49/4 + b

-65/4 = b

The equation is y = 7/4x - 65/4.

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Margot is trying to decide between cable and satellite TV. Cable has a package of $49.99 a month for the basic package, plus $9.

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The cost of cable (c) in terms of months (m) is
c = (49.99 +9.95 +9.95 -10.00)m
c = 59.89m

The cost of satellite TV (s) in terms of months is
s = 125.00 +49.95m

The difference in price is ...
s - c = (125 +49.95m) -(59.89m)
s - c = 125 -9.94m

At 12 months, the difference in price is
s - c = 125 -9.94*12 = 5.72
This number is positive, which means ...
the Cable company will save Margot money over a 12-month period.

At 24 months, the difference in price is
s - c = 125 -9.94*24 = -113.56
This number is negative, which means ...
the Satellite TV company will save Margot money over a 24-month period.

_____
A graph of the costs shows a cross-over at 12.5 months. Until then, the Cable provider is less expensive. Over terms longer than that, the Satellite TV provider is less expensive.