Answer:
The equation is;
y = -1/4x + 607.5
Step-by-step explanation:
Let us have the number of drops as y axis while the number of minutes is x axis
The points to use are;
(30,600) and (130,575)
The slope can be calculated using;
m = (y2-y1)/(x2-x1)
= (575-600)/(130-30) = -25/100 = -1/4
So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)
y = -1/4x + c
To get c, we simply substitute one point
Let us use (30,600)
We have
600 = -1/4(30) + c
600 + 7.5 = c
c = 607.5
So the equation is ;
y = -1/4x + 607.5
The answer is the same as the question. 1.75
2/5 is the answer unless your multiplying
Answer:
The % increase is 7.179 but see the remark I made below. What I have given and what it could be is a rounding error. Less than 2 dollars error is not much when you are calculating something for someone just to show them how to do it.
Step-by-step explanation:
242,555 * x/100 = 259,970 Multiply by 100
242,555 * x = 259970 * 100
242,555 * x = 25997000 Divide by 242555
x = 24997000/242444
x = 107.179
That's the total increase.
What you want is 7.179%
If you take 7.179% of 242,555 and add it onto 242555 you should get 259,970
7.1797/100 * 242555 = 17413.02
17413.02 + 242555 = 259968.02
Why isn't it exact. I'm out just about 2 whole dollars. The reason is that the % isn't exact. It's only out to 3 decimal places which apparently is not enough. You can go over my numbers if you want more exactness us use something that is rounded to 7.180 if you like.
Answer:
x = 20
Length = 20ft
Width = 12ft
Step-by-step explanation:
A = 240
x^2 - 8x = 240
x^2 - 8x - 240 = 0
x^2 - 20x + 12x - 240 = 0
x(x-20) + 12(x-20) = 0
(x+12)(x-20) = 0
x = 20
x = -12 (which we discard since x is a length)
So the dimensions are 20ft and 20-8 = 12ft
