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Chapter 4: Q5. (page 244)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. State the concept of a straight line.

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

Here, mis the slope of the straight line and cis 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.

02

Step 2. Substitute the values from the given information.

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

Write the equation in the slope-intercept form.

y=mx+cy=60x+20

03

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

Replace y with C and x with t as Cis the dependent variable and tis the independent variable.

y=C,x=ty=60x+20C=60t+20

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

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