The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope.
Here are our options:
<span>A. y = x + 4
B. y = 4x + 9
C. y = x + 18
D. y = 3x + 22
Which has the closest approximation of the y-intercept?
The y-intercept is not directly given, but we can assume it is less than 10.
That leaves us with A and B.
Which has the closest approximation of the slope?
The graph, on average, seems to move up about 60 and over about 15.
Slope = rise/run = 60/15 = 4. Although the slope isn't exactly 4, it's much closer to 4 than 1, which is slope for option A.
Therefore, the answer is
B) y= 4x + 9
</span>
Answer:
72 yd / min
Step-by-step explanation:
The first thing is to fully calculate the distance traveled, each lap is 200 yards and how 6 laps would be:
200 * 6 = 1200
Now, let's divide the race into how the statement tells us:
1200 * 2/3 = 800
1200 * 1/3 = 400
That is, in the first 800 yards it goes to 80 yd / min and then in the remaining 400 yards it goes to 60 yd / min, let's calculate the time Rhea lasted:
800/80 = 10 min
400/60 = 6,667 min
Which means that in total it would be:
10 + 6,667 = 16,667
In other words, Rhea took 16,667 minutes to travel 1,200 yards, so the speed would be:
1200 / 16,667 = 72
Therefore the average Rhea speed was 72 yd / min
Point = (0, 56)
Slope = 1
This is where you would use point slope.
y - y1 = m(x - x1)
y - 56 = 1(x - 0)
y - 56 = x
y = x + 56
Answer is A.
Answer:
B and C
Step-by-step explanation:
For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:
A , D, and E are all the same number (1/3) so they're all the same shade.
The remaining shades (B and C) are both 1/2 so they're the same shade.
Therefore there are two different shades of paint.
For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).
