Answer:
5
Step-by-step explanation:
First, find the equation of the line:
put it in the form y = mx + b where m is the slope and b is the y-intercept
You already have m = 2, so y = 2x + b.
Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.
3 = 2 * 1 + b
3 = 2 + b
1 = b
This means the equation of the line is y = 2x + 1.
Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:
y = 2 * 2 + 1
y = 4 + 1
y = 5
5 is the answer
Multiply 4.8 into (20/3), and multiply 16/9 with (1.2b)
Multiply 9 on both sides
19.2b = 32(9)
19.2b = 288 Divide 19.2 on both sides
b = 15
Answer:
y = 2x + 1
Step-by-step explanation:
You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.
3 times 2, and plus1
gives you 7.
Test it on the other numbers.
-1 times2, and plus1
2(-1)+1 = -1
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
It works for all the numbers.
You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"
(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.
If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.
Answer:
1/16
Step-by-step explanation:
In the starting, Corrine had 1/4 gallon of blackberries. Now, she poured the berries equally into 4 containers. Therefore, the amount of berries in each container is:1/4 : 4=1/16
Thus, each container has 1/16 of a gallon of blackberries.
