Answer:
B
Step-by-step explanation:
Just read and you will see why i say that
The answer is: "39 points" .
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Explanation:
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" x/ 50 = 78/100 " ; in which "x" equals the number of points needed.
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To solve for "x" ;
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Look at the denominators: 50 * (what value?) = 100.
→ "100 ÷ 50 = 2" .
→ So; "50 * 2 = 100" ;
So, let us look at the numerators:
x * 2 = 78 ;
↔ 2x = 72 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ 78 ÷ 2 = 39 ;
The answer is: "39 points" .
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Answer:
c is the answer
Step-by-step explanation:
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) $8000
2) $1000
3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Step-by-step explanation:
We have the equation y = -1000x + 8000 which follows the linear equation:
y = mx + b, where m is our slope and b is our y-intercept
1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start
2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account
3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.
0 = -1000x + 8000
-8000 = -1000x
8 = x
It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
