Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Answer choices</u>
A. The equation represents a proportional relationship.
- TRUE, it is in the form of y = kx
B. The unit rate of change of y with respect to x is 8.5
- TRUE, y = mx + b, the slope m = 8.5 is the rate of change
C. The slope of the line is 2/17
D. A change of 17 units in x results in a change of 2 units in y.
- False, a change of x = 17 results in 17*8.5 = 144.5 units in y
E. A change of 4 units in x results in a change of 34 units in y.
Answer:
-1
Step-by-step explanation:
Distribute
6x - 2 >= 4x - 6
2x >= -4
x >= -2
|____|____|____|____|____|____|____|____|
0 1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16
| _________________| _________________|
0 1/4 2/4
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
I can’t type it out but the equation is Pi(radius)^2