Answer:
below
Step-by-step explanation:
1) slope = rise / run
2 coordinates are (-4, 0), (0, 2).
2 - 0 = 2
0 -- 4 = 4
2 / 4 = 1/2 so the slope is 0.5 or ½
2) it crosses the y axis at the average of the origin and 4.
4 + 0 = 4 / 2 = 2 so y intercept is 2.
3) in y= mx + b form
f(x) = ½x + 2, or, f(x) = 0.5x + 2
Answer:
C
Step-by-step explanation:
From the box-and-whisker plot, we have
![Min = 175\\ \\Q_1=200\\ \\Q_2\approx 218\\ \\Q_3=240\\ \\Max=280](https://tex.z-dn.net/?f=Min%20%3D%20175%5C%5C%20%5C%5CQ_1%3D200%5C%5C%20%5C%5CQ_2%5Capprox%20218%5C%5C%20%5C%5CQ_3%3D240%5C%5C%20%5C%5CMax%3D280)
By the definition, the interquartile range is
![Q_3-Q_1](https://tex.z-dn.net/?f=Q_3-Q_1)
In your case, the interquartile range is
![Q_3-Q_1=240-200=40](https://tex.z-dn.net/?f=Q_3-Q_1%3D240-200%3D40)
So, the correct choice is option C.
If Tim spends a third of each weekday sleeping, this means he spends
8/24 hours a day asleep. If he spends 7/24 hours of each weekday in
school too, this means the combined time he spends sleeping and in
school is 8/24 + 7/24, so he spends 15/24 hours each weekday sleeping in
school (three more hours than half a day)
Answer:
Step-by-step explanation:
First, divide the 12 cupcakes by 4 1/2. This will find the rate of change or slope of the equation. The answer of 12 divided by 4 1/2 is 8/3. That would make A the correct choice for this problem.
Given:
The yield of strawberries per acre is
S = -(w - 2)² + 50
where
S = number of pints of strawberries per acre
w = acre-feet of water
Strawberries sell for $3 per pint
Water costs $5 per acre-feet.
The yield function is the revenue minus the expenses. It is
Y = (S pints)*($3 per pint) - (w acre-ft)*($5 per acre-ft)
Y = -3(w - 2)² -5w + 150 dollars
A graph of the yield function is shown below.
It indicates that
a) the yield is maximum when the acre-feet is about 1.5;
b) the yield increases between zero and 1.5 acre-feet;
c) the yield decreases quickly when the acre-feet exceed 1.5;
d) the yield vanishes when the acre-feet exceed 8.