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.
1 billion dollars × 6 inches per dollar = 6 billion inches / 63,360 inches per mile = 94,636.97 miles coverted by1 billion bills. answer = 94,636.97 miles
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
<h3>What is the average rate of change?</h3>
The average Rate of Change of the function f(x) can be calculated as;
Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average
Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
Learn more about average rate;
brainly.com/question/20784578
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Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
__
The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and 
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting 
in (i), we get
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
