Answer:
Rate of change is 6/7 Initial value: 6
Step-by-step explanation:
To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).
x1 and y1 will be (0, 6)
x2 and y2 will be (7, 0)
Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.
(6 - 0)/(0 - 7) = 6/7
The initial value is simply the y-intercept, which is 6.
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
29.64
Step-by-step explanation:
First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.
I believe the phi ratio^2 = 1 + phi ratio
phi ratio = 1.6180339
phi ratio^2 = 2.6180339
