7.
10% = 6
25% = 15
50% = 30
20% = 12
_____________________
8.
a = 35
b = 105
c = 140
____________________________
9.
15 is 30% of 50.
_____________________________
10.
The punch recipe contains 25% lemonade:
24/6 = x/100
x=1/4 x 100 = 25%
_____________________________
11.
520
multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
to get 520 students.
_______________________________________
12.
Number of items checked = 300
Defective items = 3%
Number of defective items =
Number of defective items =
Number of defective items = 9
Number of items worked = Total items - Number of defective items
Number of items worked = 300 - 9 = 291
291 items of checked items worked.
<span>Part
A:
a) What do the x-intercepts and maximum value of the graph represent?
The x-intercepts are the distances at which the ball is on the ground.
First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.
b) What are the intervals where the function is increasing and decreasing,
and what do they represent about the distance and height? (6 points)
The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)
The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.
The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.
Part B: What is an approximate average rate of change of the graph from x
= 22 to x = 26, and what does this rate represent
On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.
So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:
change on f(x) 7 - 12
average rate of change = --------------------- = ----------- = -5/4
change of x 26 - 22
That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
A)
A=20(1.25^t)
C=25+10t
b)
A(4)=20(1.25^4)≈48.82≈49 alligators to nearest whole alligator
C(4)=25+10(4)=65 crocodiles.
c)
20(1.25^t)=25+10t
1.25^t=1.25+0.5t
t≈7
10 think about it it’s 60s and it’s in the ten’s place because 10,20,30,40,50, and 60
