Yvaries as x means
y=kx where k is constant
y=2.5
x=6
find k
2.5=k6
divide bot sides by 6
2.5/6=k (leave as that an simplfy later)
if x=4, what is y
y=(2.5/6)*4
y=10/6
y=5/3
y=1 and 2/3
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Answer:
"No, the relationship is NOT proportional"
Step-by-step explanation:
<u>Complete Question:</u>
Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in 7th grade class 30 participate in at least one sport. Is this relationship proportional?
We have to see the ratio of each and if they are equal (after reducing), we can say they are proportional.
Boys:
25 participate in atleast 1 sport and there are total of 75. Hence, ratio is
25 : 75 = 1 : 3
Girls:
30 particiapte in atleast 1 sport and there are toal of 120. hence ratio is:
30 : 120 = 1 : 4
So, the relationship is NOT proportional
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
