F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2
So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2
So what does 1/x^2 multiply by to give 1/0.5625x^2
Written as an equation it is y/x^2 = 1/0.5625x^2
Multiply both sides by x^2
y = 1/0.5625
y = 1.778 (rounded to 3 decimal points)
So the decimal multiplier is 1.778 and so the percent increase is approximately 77.8%
Answer:
y = 2/3x + 2
Step-by-step explanation:
Slope intercept form is y=mx+b where m is the slope and b is the y intercept.
Given 2 points you can find the slope using (y-y1)/(x-x1)
m = (-2-4)/(-6-3) = -6/-9 = 2/3
To find b use one of the points and m and plug into the slope intercept form and then solve for b.
y=mx+b
4=2/3(3) + b
4=2 + b
b=2
Now we can write the final equation as : (plug m and b back in)
y = 2/3x + 2
A problem with extra information will be difficult to solve because you may not be able to tell what information you might need to use for the problem.