Answer:

Step-by-step explanation:
Given



Required
PQ
Since Q is between the given points, then:

This gives:

Collect like terms


Next, solve for x
We have:


This gives:

Collect like terms


Divide by 2

So:



Answer:
(3,0)
Step-by-step explanation:
The number on the x axis is the only number that changes not the number on the y axis.
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
Answer:
Step-by-step explanation:
Given that:



since 
Then, it implies that:



