“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
1 answer:
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Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
=
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
Set it up like a regular equation. I used:
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>
This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>
This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.