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Elza [17]
3 years ago
5

The table shows a proportional relationship between the number of pounds of grapes

Mathematics
2 answers:
WINSTONCH [101]3 years ago
3 0

Answer:

Pounds of grapes: 8; total cost: $5.52

Step-by-step explanation:

  1. Find the proportional relationship for 1. 1:0.69
  2. You can eliminate 3 off the top
  3. Try 11 first since it is the largest and the table is increasing in pounds. 11:7.59 (incorrect)
  4. Try 8. 8:5.52 (correct)
Vsevolod [243]3 years ago
3 0
It would be:
Pounds of grapes: 8
Total cost: 5.52.
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3 years ago
Help please! I really suck at math!
grandymaker [24]

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Step-by-step explanation:

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Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
algol [13]

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Independent ;

(1, 3)

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

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Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

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y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

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