Answer for 1 and 2:
y=9+n
if n=12, then y=21
y=12x
if n=12, then y=144
Step-by-step explanation:
by observing the first chart, we see both the input and output increase by one each time. this means they are proportionally linear, meaning if one increases by 1, so does the other, giving it a slope of 1/1. if we look at the equation y=mx+b, we substitute x for n as it is the input and 1/1 as the slope, or m, and find the y-axis intercept by finding y for n=0 (which is 9), we get the equation y=1n+9, or y=n+9. if we substitute 12 for n, we get 21.
for the second graph, the trend is y, the output, when divided by n, the input, always equals 12. thus, y=12n, which is the whole equation. if we substitute 12 for n, we get 12x12 which equals 144.
