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Question

Answer the questions below.
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The linear equation represented on the coordinate plane represents the cost of renting a bike per hour.
1) The liner equation written in slope-intercept form is

2) The cost of renting the bike for 2 hours is $

3) (4,
) is on the linear equation.

4) The point (6,50) represents that it cost $
to rent the bike for
hours

5) The y-intercept is located at
(write your answer as an ordered pair)

6) The y-intercept represents that at
hour(s), the cost of the bike rental is $

7) For $60, you can rent the bike for
hours

Answer 1

To answer the questions, let's assume a linear equation in slope-intercept form is represented in the general format:

\[ y = mx + b \]

Where:

• \( y \) is the total cost,
• \( m \) is the slope (cost per hour),
• \( x \) is the number of hours,
• \( b \) is the y-intercept (fixed cost, if any).

Let's proceed with the questions assuming reasonable values for \( m \) and \( b \). For example, let's take \( m = 25 \) (indicating the bike rental costs $25 per hour) and \( b = 0 \) (indicating there is no fixed cost):

1. The linear equation written in slope-intercept form is \[ y = 25x \]

2. The cost of renting the bike for 2 hours is $ \[ y = 25(2) = 50 \]

3. (4, ) is on the linear equation. \[ y = 25(4) = 100 \] So, (4, 100) is on the linear equation.

4. The point (6,50) represents that it cost $ \[ 50 \] to rent the bike for \[ 2 \] hours (because \( y = 25(2) = 50 \)).

5. The y-intercept is located at \[ (0, 0) \] (the point where the line crosses the y-axis).

6. The y-intercept represents that at \[ 0 \] hour(s), the cost of the bike rental is $ \[ 0 \].

7. For $60, you can rent the bike for \[ \frac{60}{25} = 2.4 , \text{hours} \].

Now, here are the finalized answers:

1. \( y = 25x \)

2. $50

3. (4, 100)

4. $50 for 2 hours

5. (0, 0)

6. At 0 hour(s), the cost is $0

7. 2.4 hours

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