Questions: Below, one description, one graph, and one equation are equivalent. Choose the proper set. You start with 3 Xbox360 games and each month you buy 1 new games. You start with 1 Xbox 360 games and each month you buy 4 new games. y=1x+3 y=4x+1

Below, one description, one graph, and one equation are equivalent. Choose the proper set.
You start with 3 Xbox360 games and each month you buy 1 new games.
You start with 1 Xbox 360 games and each month you buy 4 new games.
y=1x+3
y=4x+1
Transcript text: Below, one description, one graph, and one equation are equivalent. Choose the proper set. You start with 3 Xbox360 games and each month you buy 1 new games. You start with 1 Xbox 360 games and each month you buy 4 new games. $y=1 x+3$ $y=4 x+1$
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem provides two descriptions, two graphs, and two equations. We need to match the correct description, graph, and equation.

Step 2: Analyze the Descriptions
  • Description 1: You start with 3 Xbox360 games and each month you buy 1 new game.
  • Description 2: You start with 1 Xbox360 game and each month you buy 4 new games.
Step 3: Analyze the Equations
  • Equation 1: \( y = 1x + 3 \)
  • Equation 2: \( y = 4x + 1 \)
Step 4: Match Descriptions to Equations
  • For Description 1: Starting with 3 games and buying 1 new game each month matches \( y = 1x + 3 \).
  • For Description 2: Starting with 1 game and buying 4 new games each month matches \( y = 4x + 1 \).
Step 5: Analyze the Graphs
  • The first graph shows a line starting at 3 on the y-axis and increasing by 1 each month.
  • The second graph shows a line starting at 1 on the y-axis and increasing by 4 each month.
Step 6: Match Graphs to Equations
  • The first graph matches \( y = 1x + 3 \).
  • The second graph matches \( y = 4x + 1 \).

Final Answer

  • Description 1 matches the first graph and the equation \( y = 1x + 3 \).
  • Description 2 matches the second graph and the equation \( y = 4x + 1 \).
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