Luis rents a paddleboat to use at West Park for the day. He has to pay a deposit and an hourly fee. Using information from the graph, enter the values that complete the equation for this situation.

Question

it starts at (0, 20) than (2, 30) than (4, 40) and so on
(1 point)
y = ___ x + ___

Answer 1

From the information provided, the points indicate that the total cost \(y\) of renting the paddleboat can be modeled as a linear equation in the form \(y = mx + b\), where \(m\) is the slope (hourly fee) and \(b\) is the y-intercept (the deposit).

1. Y-Intercept (b): From the point (0, 20), we see that when \(x = 0\) (time = 0 hours), the cost is \(y = 20\). This means there is a \(20\) dollar deposit.

   So, \(b = 20\).

2. Slope (m): To find the slope, we can use the points (0, 20) and (2, 30): \[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{30 - 20}{2 - 0} = \frac{10}{2} = 5 \]

   This means the hourly fee is \(5\) dollars per hour.

Putting this together, we have: \[ y = 5x + 20 \]

So the values that complete the equation are:

• \(5\) for the coefficient of \(x\),
• \(20\) for the constant.

Thus, the answer is: y = 5 x + 20.