Answer:
5. D
6. C
Step-by-step explanation:
<u>Question 5</u>
Lets plug in values of x and y into each equation to see which one works for the entire data set...
y=2x-4
1) Plug in -7 as x and -18 as y:
-18=2(-7)-4
2) Multiply:
-18=-14-4
3) Subtract:
-18=-18
The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.
<u>Question 6:</u>
We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.
The correct equation is C=25+1.30d, because we are adding 1.3 every single day.
Answer:
0.2071
Step-by-step explanation:
It looks like the graph is of the function ...
y = √(x +8) -2
We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.
The average rate of change on the interval is then ...
m = (0.8284 -0)/(0 -(-4)) = 0.2071
The average rate of change on the interval is about 0.2071.
_____
<em>Rougher estimate</em>
The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.
A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."
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So basically u keep the x on one side and the rest on the other. Get a common denominator. to get rid of the half u times both sides by 2.
hope this helps