Chapter 4: Q5. (page 244)

Write an equation in slope-intercept form for the total rental cost $C$ for a pontoon boat used for t hours.

Short Answer

Expert verified

The equation for total rental cost $C$ for the pontoon used for t hours is $C = 60 t + 20$ .

Step by step solution

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is $y = m x + c$ .

Here, $m$ is the slope of the straight line and $c$ is the $y$ -intercept of the equation.

The cleaning fee is the intercept of the line on the $y$ -axis while the pontoon boat rental is the slope of the equation.

Step 2. Substitute the values from the given information.

Substitute, the value of the slope, $m = 60$ and the $y$ -intercept is $c = 20$ .

Write the equation in the slope-intercept form.

$\begin{array}{l} y = m x + c \\ y = 60 x + 20 \end{array}$

Step 3. Replace the variables to get slope-intercept form.

Replace $y$ with $C$ and $x$ with $t$ as $C$ is the dependent variable and $t$ is the independent variable.

$\begin{array}{l} y = C, \\ x = t \\ y = 60 x + 20 \\ C = 60 t + 20 \end{array}$

The equation of the straight line in the slope and intercept form is $C = 60 t + 20$ , where $t$ is the number of hours.

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Write an equation in slope-intercept form for the total rental cost $C$ for a pontoon boat used for t hours.

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. Substitute the values from the given information.

Step 3. Replace the variables to get slope-intercept form.

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Write an equation in slope-intercept form for the total rental cost Cfor a pontoon boat used for t hours.

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. Substitute the values from the given information.

Step 3. Replace the variables to get slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the total rental cost $C$ for a pontoon boat used for t hours.