Similarities:
Have a consistent change for every interval can be represented as functions of a variable points lie on a line.
Differences: linear equations represent all solutions to all x values, whereas arithmetic sequences pick integer spacing
Answer:
y= 4/5x
Step-by-step explanation:
A proportional relationship has an equation of the form y = mx. It passes through the origin.
y= 4/5x is the only equation which is in this form.
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.
Answer:
C and E
Step-by-step explanation:
To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.
(X, Y)
Example:
Y = 5X
6 != 5 * 3
We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.
B. (0, 1)
1 != 5 * 0
C. (3, 15)
15 = 5 * 3
D. (4, 2)
2 != 5 * 4
E. (-1, -5)
-5 = 5 * -1
F. (-1, 5)
5 != 5 * -1
* For those who don't know, the != is how to say "not equal to" in computer science.
The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700,
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664 yay!
