Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:

Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
Answer:
a. 8,953.5 seconds
b. 14,400 seconds (check note)
Step-by-step explanation:
a.
y=-4x
y=-35814 (negative because this is underwater)
-35814=-4x
8953.5
The model suggests it would take 8,953.5 seconds for DeepSea Challenger to reach the bottom (2.487083333 hours, or about 2 hours and 30 minutes).
b.
y=4x
x=3600 (positive because the vessel is rising)
4(3600)
14400
It took 14,400 seconds for the DeepSea Challenger to ascend to the surface.
[also note: I'm not sure if the second question is asking for how many seconds it takes to ascend to the surface with reference to the 4 seconds in the previous question (which is how I answered part b) or if it's asking how many seconds 1 hour is, and in that case. the answer is 3,600 seconds. I hope this helps and sorry if it's unclear!]
Numerator is 57.
denominator is 78
therefore, the fraction is numerator/denominator (to the nearest tenth) = 73.1%
Answer:
unlikely
Step-by-step explanation:
11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely