Match the table, scenario, and graph to the appropriate Linear equation.

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

Ryan is tracking how much money he has each week.

He started with $60. He spent $5 per week until he had $20 left in the account.




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y = 2/3 x + 3
y = - 3/2 x + 3
y = -1/3x + 31
y = -3x + 31
y = 60x - 5
y = -5x + 20
y = - 5x + 60
y = 3x - 3

Answer 1

To match the appropriate linear equation to the scenario described:

1. Initial amount: Ryan starts with $60. This means when \( x = 0 \) (at the beginning), \( y = 60 \).

2. Spending rate: Ryan spends $5 per week, which indicates a negative slope of -5. This means for every week (or unit increase in x), the value of y decreases by 5.

From the clues provided:

• The equation that corresponds to starting at $60 and decreasing by $5 per week is given by:

\[ y = -5x + 60 \]

Thus, the correct response to insert would be:

y = -5x + 60

So, insert "y = -5x + 60" into the designated input for the linear equation that matches Ryan's scenario.