QuestionJerome wants to rent a rowboat to go fishing at the lake. The cost of the rental can be represented by the equation $y=18 x$ , where $x$ is the number of hours the boat is rented for, and $y$ is the total cost.
What is the cost per hour for renting the boat? There is no cost per hour, because the value for $b$ in the slope-intercept form of the equation $y=m \boldsymbol{x}+\boldsymbol{b}$ equals 0 . It costs $\$ 18$ to rent the boat all day. Renting the boat costs $\$ 0.18$ per hour. The cost per hour can't be determined without determining the number of hours it is used. Renting the boat costs $\$ 18$ per hour.

Studdy Solution

STEP 1

1. The cost of renting a rowboat is represented by the equation $y = 18x$ .
2. $x$ is the number of hours the boat is rented.
3. $y$ is the total cost of renting the boat.
4. We are asked to find the cost per hour for renting the boat.

STEP 2

1. Understand the equation and identify the components.
2. Determine the cost per hour from the equation.

STEP 3

Understand the equation and identify the components.
The equation given is $y = 18x$ , which is in the form of $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 4

Determine the cost per hour from the equation.
In the equation $y = 18x$ , the slope $m = 18$ represents the cost per hour. This is because the slope $m$ in the equation $y = mx + b$ represents the rate of change of $y$ with respect to $x$ .
Therefore, the cost per hour for renting the boat is $\$18$ .

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