12)
(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
Hey and thanks for giving me the chance to serve u
Answer: Option 4 i think. But i m still having confusions between option 4 and 2.
