To help answer your questions about the linear equation representing the cost of renting a bike per hour, we can start by establishing a general format for such equations.
Typically, a linear equation in slope-intercept form is represented as: \[ y = mx + b \] where:
- \( y \) is the total cost,
- \( m \) is the slope (cost per hour),
- \( x \) is the number of hours,
- \( b \) is the y-intercept (initial cost).
Let's proceed to answer your questions assuming some values for \( m \) and \( b \). If you provide specific details or values for the slope and y-intercept, the answers might change accordingly.
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The linear equation written in slope-intercept form is: \[ y = mx + b \] (You should replace \( m \) and \( b \) with the specific numbers representing the cost per hour and any fixed cost, if applicable.)
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The cost of renting the bike for 2 hours is: \[ 2m + b \] (Again, substitute specific \( m \) and \( b \) values.)
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(4, _) is on the linear equation: \[ (4, 4m + b) \] (Substitute \( 4m + b \) with its calculated cost.)
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The point (6, 50) represents that it cost $50 to rent the bike for 6 hours: \[ 50 = 6m + b \] (This can help you calculate \( m \) or \( b \) if needed.)
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The y-intercept is located at: \[ (0, b) \] (Again, substitute \( b \) with the corresponding cost.)
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The y-intercept represents that at 0 hour(s), the cost of the bike rental is $: \[ b \]
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For $60, you can rent the bike for: \[ \frac{60 - b}{m} \] (Once more, substitute the corresponding values for \( m \) and \( b \).)
Please provide specific values if you want accurate responses!
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