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Use the table to answer the question.

Table of Values

x
ya yb
0 3 18
1 6 1312
2 9 9
Which of the following systems of linear equations does the table of values represent?

(1 point)
Responses

{y=3x+3y=4 1/2x+18

{y=3x+3y=−4 1/2x+18

{y=3x+3y=4 1/2x−18

{y=−3x+3y=4 1/2x+18

Use the table to answer the question.

Table of Values

x ya yb
0 0 3
1 2 3.5
2 4 4
Which of the following systems of linear equations does the table of values represent?

(1 point)
Responses

{y=2x+3y=1/2x

{y=2xy=1/2x+3

{y=2xy=3x+1/2

{y=1/2xy=2x+3

Use the image to answer the question.

Two lines slope upward on a coordinate plane. A solid line passes through the plotted point left parenthesis 2 comma 7 right parenthesis. A dotted line intersects the first line at the plotted point left parenthesis negative 1 comma 1 right parenthesis.

What is the system of equations shown in the graph?

(1 point)
Responses

{y=3x+2y=4x+3
enlarged left btrace start layout first row y equals 3 x plus 2 second row y equals 4 x plus 3 end layout

{y=2x−3y=3x−4
enlraged left brace start layout first row y equals 2 x minus 3 second row y equals 3 x minus 4 end layout

{y=−x+1y=2x+7
enlarged left brace start layout first row y equals negative x plus 1 second row y equals 2 x plus 7 end layout

{y=2x+3y=3x+4

Use the image to answer the question.

Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.

Write the system of equations shown in the graph.

(1 point)
Responses

{y=2x+1y=4x−3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x minus 3 end layout

{y=2x−1y=4x+0.75
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 0.75 end layout

{y=−x+2y=3x+4
enlarged left brace start layout first row y equals negative x plus 2 second row y equals 3 x plus 4 end layout

{y=2x−1y=4x+3

Two students were testing the parachute designs they made for an egg-drop project. Both students dropped their eggs from a height of 10 feet. One design made the egg fall at a rate 5 feet per second, and the other design made the egg fall at a rate of 3 feet per second. If x represents the time in seconds that the egg falls and y represents the height of the egg, which system of equations represents the situation described?(1 point)
Responses

{y=10+5xy=10+3x
enlarged left brace start layout first row y equals 10 plus 5 x second row y equals 10 plus 3 x end layout

{y=10−5xy=10−3x
enlarged left brace start layout first row y equals 10 minus 5 x second row y equals 10 minus 3 x end layout

{y=5x−10y=3x −10
enlarged left brace start layout first row y equals 5 x minus 10 second row y equals 3 x minus 10 end layout

{y=−5xy=−3x

SUMMARY ANSWERS PLEASE DOUBLE CHECK

1 answer

Here are the summarized answers based on the provided questions and tables:

  1. First Question (Table of Values with ya and yb):

    • The correct system of equations is: {y = 3x + 3, y = 1/2x + 18}

  2. Second Question (Table of Values with ya and yb):

    • The correct system of equations is: {y = 2x, y = 1/2x + 3}

  3. Third Question (Graph of Two Lines):

    • The correct system of equations is: {y = 3x + 2, y = 4x + 3}

  4. Fourth Question (Intersecting Lines on the Coordinate Plane):

    • The correct system of equations is: {y = 2x - 1, y = 4x + 0.75}

  5. Fifth Question (Parachute Designs Egg-Drop):

    • The correct system of equations is: {y = 10 - 5x, y = 10 - 3x}

These answers should be checked against the given tables, graphs, or situations to ensure they match the descriptions in the questions.