Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
Step-by-step explanation:
Day 1: 1200g / 2¹ = 600g
Day 2: 1200g / 2² = 300g
Day 3: 1200g / 2³ = 150g
The pattern is the amount of radioactive substance on day n is 1200 / (2^n).
Therefore, we have to find n where 2^n > 1200.
The first such n is 11 (2¹¹ = 2048).
Hence, there will be less than 1 gram on day 11.
Answer:
Train 1: 368 mph
Train 2: 358.1 mph
Step-by-step explanation:
We can write 2 equations to represent this problem.
The x represents the first train and the y represents the second train.
We can plug in x into the first equation.
Now that we know our y, we can find our x.
