Find the velocity first, the "slope".
m=(y2-y1)/(x2-x1)
m=(95.5-53)/(4-2)
m=21.25 ? Your equations are wrong, I'll double check with another set of points...
m=(350.5-308)/(16-14)
m=21.25 LOL, yep none of your lines has the correct slope.
Anyway...
y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)
53=21.25(2)+b
53=42.5+b
10.5=b so the distance to the lighthouse as a function of time is:
y=21.25x+10.5
So essentially, you should fire your teacher or burn that book you are using :)
Answer:
Table is attached
Step-by-step explanation:
We are given equation as

We will complete each column
First column:
we are given x=2 and we have to find y



Second column:
we are given y=3 and we have to find x



Third column:
we are given x=6 and we have to find y



Fourth column:
we are given x=0 and we have to find y



Fifth column:
we are given x=3 and we have to find y



Sixth column:
we are given y=0 and we have to find x



Seventh column:
we are given y=8 and we have to find x



now, we can complete table
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
9) Because the total number of pencils is 180 and you will use them up in 30 days, the equation will have to equal 0 total pencils when 30 is substituted in for the time factor, or x. This already takes our choice 3 because it doesn’t meet this criteria.
The answer to how many pencils in 20 days could be answered by plugging in 20 for x. Choice 4 cannot work because it results in a negative number of pencils. Choices 1 and 2 use the same equation, so by plugging in 20 it is clear choice 2 is the correct answer.
10) A line parallel to the go en equation would have the same slope, -3, which means choices 1 and 4 are out. Plug in (-2,5) into both choices 2 and 3. Plugging -2 into x in choice 2 gives -5, and in choice 3 gives 5 for the y value. Therefore choice 3 is correct.
If you would like to know if (0, 3) is a solution to the equation y = x + 3, you can find this using the following step:
(0, 3) = (x, y)
x = 0
y = 3
y = x + 3
3 = 0 + 3
3 = 3
Result: (0, 3) is a solution to the equation y = x + 3.