What is half of the number 5,000?
2 answers:
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Answer:
y = 3/4x - 5
Step-by-step explanation:
An equation of a line can be written in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Let's plug in what we know.
The slope is 3/4.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/4(4) + b
To find b, multiply the slope and the input of x(4)
-2 = 3 + b
Now, subtract 3 from both sides to isolate b.
-5 = b
Plug this into your standard equation.
y = 3/4x - 5
This is your equation. It has a slope of 3/4, and passes through (4, -2)
Hope this helps!
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.
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.