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1 answer:
Answer:
a) t(n) = 200n -238
b) t(n) = 2.7n -4.3
Step-by-step explanation:
This is the same sort of problem as writing the equation of a line through two points. The slope (coefficient of n) is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
And the constant term is found from one point and the slope:
b = y1 -m·x1
As always, if you have a number of these to do, you can save some trouble by putting the formulas in a spreadsheet. It will guarantee the formula is executed without mistakes.
In the attached, we have labeled the points (n1, t1), (n2, t2) instead of (x1, y1) and (x2, y2).
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a) t(n) = 200n -238
b) t(n) = 2.7n -4.3
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Answer:
Part 1) The inequality that represent this situation is or
Part 2) Yes, 8 inches is a reasonable width for his tablet
Step-by-step explanation:
Part 1)
Let
L -----> the length of the screen television
W ----> the width of the screen television
x ----> the width of Andrew's tablet
we know that
------> equation A
----> equation B
The area of the television is
-----> equation C
Substitute equation A and equation B in equation C
------> inequality that represent this situation
Part 2) Determine if 8 inches is a reasonable width for his tablet
For x=8 in
Substitute in the inequality
-----> is true
therefore
Yes, 8 inches is a reasonable width for his tablet