Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here k is the constant of variation.
From the table,
substitute x = -3, y = -4 in the equation
k = y/x
k = -4/-3
k = 4/3
substituting x = -2, y = -1
k = y/x
k = -1/-2 = 1/2
substituting x = -1, y = 2
k = y/x
k = 2/-1 = -2
substituting x = 0, y = 5
k = y/x
k = 5/0 = ∞
substituting x = 1, y = 8
k = y/x
k = 8/1
k = 8
substituting x = 2, y = 11
k = y/x
k = 11/2
substituting x = 3, y = 14
k = y/x
k = 14/3
It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.
Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.
Answer:
y+3/8x=-17/8
Step-by-step explanation:
y=mx+b
y=-3/8x+b
-4=-3/8(5)+b
-4=-15/8+b
-32/8+15/8=b
-17/8=b
y=-3/8x-17/8
change to standard form where x and y are on one side of the equation
y+3/8x=-17/8
Answer:
Steps to simplifying fractions
Therefore, 9/9 simplified to lowest terms is 1/1.
Reduce 9/8 to lowest terms
9/8 is already in the simplest form. It can be written as 1.125 in decimal form (rounded to 6 decimal places).Step-by-step explanation:
Answer:
<u>212,400 items</u> were sold in 10 months.
Step-by-step explanation:
Given:
Items sold this month = 70,800
Percent Increase in every month = 20%
We need to find number of items sold in coming 10 months.
Solution:
First we will find number of items increase in each month.
number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.
number of items increase in each month =
Now we will find number of item sold in 10 months.
number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.
framing in equation form we get;
number of item sold in 10 months =
Hence <u>212,400 items</u> were sold in 10 months.
Answer: -4
Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.