Concept explainers
(a)
Tofind:The equation of line in slope intercept form.
(a)
Answer to Problem 50PPS
The equation of the line is
Explanation of Solution
Given:
The charge for the mountain bike = $8 per hour
The fee for the helmet = $5
Calculation:
The standard form of slope and intercept form of the straight line is
Here m is the slope of the straight line and c is the y- intercept of the equation.
The charge for the mountain bike varies per hour while the fee for the helmet remains constant. The charge for the bike is the slope of the equation while the fee for the helmet is the intercept of the line on the y- axis.
The total charge C for t hours for the bike and the helmet can be calculated from the equation.
The equation of the straight line in the slope and intercept form is
Therefore, the equation of the straight line is
(b)
Toplot:The graph for the equation of total rent cost.
(b)
Answer to Problem 50PPS
The plot is drawn below.
Explanation of Solution
Given:
The charge for the mountain bike = $8 per hour
The fee for the helmet = $5
Calculation:
The standard form of slope and intercept form of the straight line is
Here m is the slope of the straight line and c is the y- intercept of the equation.
The equation of the straight line in the slope and intercept form is
Plot this equation on the Cartesian plane.
(c)
Tofind:The total cost for 2 helmets and 2 bikes for 8 hours.
(c)
Answer to Problem 50PPS
The total cost for 2 helmets and 2 bikes for 8 hours is 138$.
Explanation of Solution
Given:
The charge for the mountain bike = $8 per hour
The fee for the helmet = $5
Calculation:
The equation of the straight line in the slope and intercept form is
This equation calculates the total cost for the single bike. The total cost for 2 helmets and 2 bikes for 8 hours is equal to 2C . Calculate 2C and substitute 8 for t .
Therefore, the total cost for 2 helmets and 2 bikes for 8 hours is 138$.
Chapter 4 Solutions
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