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: The second choice is correct: slope is 3/4, y-intercept is 1
Step-by-step explanation: The y-intercept is where the line crosses the y-axis.
Look for places where the line intersects the grid at "cross-points" like (-4,-2) (0,1) and (4,4)
The slope is rise/run.
The difference in y-values is the rise. 4-1=3 1-(-2) is 3.
The rise is 3.
The difference in x-values is the run. 4-0=4 0-(-4) = 4
The run is 4
Rise/run = 3/4 That is the slope.
Answer:
6
Step-by-step explanation:
3-(-3)
3+3
6
