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Nastasia [14]
3 years ago
13

The table shows the relationship between two variables. which selection describes the relationship?

Mathematics
2 answers:
Phantasy [73]3 years ago
8 0
Linear; increasing
Hope tuhis helps

Liula [17]3 years ago
4 0

Answer:

The relationship between two variables is decreasing and linear.

Step-by-step explanation:

From the given table it is notice that the function passing through the points (1,5), (2,-1), (3,-7) and (4,-13).

Slope of the function between first two points (1,5) and (2,-1) is

m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{2-1}=-6

Slope of the function between last two points (3,-7) and (4,-13) is

m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-13+7}{4-3}=-6

The rate of change or slope of the function is constant.

From the given table it is noticed that the values of y decreased by 6 units as the values of x increased by 1 units.

Since the rate of change constant and negative, therefore the relationship between two variables is decreasing and linear.

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james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
Pls helpppp I give brainliest <3​
Pavel [41]

Answer:

9cups of dried split peas

8 qts of water

3 cups of chopped onion

4 cups chopped celery

8 lbs Ham shank

Step-by-step explanation:

The recipe serves 8 people, so to figure out how much you need to serve 32 people you multiply each measurment by 4 because 8 x 4=32.

2 1/4 x 4 = 9

2 x 4 = 8

3/4 x 4 = 3

1 x 4 = 4

2 x 4 = 8

6 0
3 years ago
Which of the following equations is equivalent to 2(3x - 1) = 3 - (- 2 - x)?
KengaRu [80]

Answer:

It would be 2. 6x - 1 = 1 + x

Step-by-step explanation:

6 0
2 years ago
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Leto [7]

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the number got bigger

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