Concept explainers
(a)
Tofill:The table below for the total cost.
(a)
Answer to Problem 11STP
The filled table is shown below.
Explanation of Solution
Given:
The consultation fee of the electrician = $25
Labor charge = $35 per hour
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 consultation fee of the electrician is the intercept of the line on the y- axis while the labor charge is the slope of the equation.
Write the equation for the given situation.
Substitute
The equation of the straight line in the slope and intercept form is
The equation for the total cost can be written as
Substitute 1,2,3,4, and 5 for h and fill the table.
Hours (h) | Total cost (C) |
1 | 60 |
2 | 95 |
3 | 130 |
4 | 165 |
5 | 200 |
(b)
Towrite:The equation for total cost in slope and intercept form.
(b)
Answer to Problem 11STP
The equation for total cost in slope and intercept form
Explanation of Solution
Given:
The consultation fee of the electrician = $25
Labor charge = $35 per hour
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 consultation fee of the electrician is the intercept of the line on the y- axis while the labor charge is the slope of the equation.
Write the equation for the given situation.
Substitute
The equation of the straight line in the slope and intercept form is
(c)
To find:The cost for the job that takes 3 hours and 15 minutes.
(c)
Answer to Problem 11STP
The cost for the job that takes 3 hours and 15 minutes is
Explanation of Solution
Given:
The consultation fee of the electrician = $25
Labor charge = $35 per hour
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 consultation fee of the electrician is the intercept of the line on the y- axis while the labor charge is the slope of the equation.
Write the equation for the given situation.
Substitute
The equation of the straight line in the slope and intercept form is
If the electrician charges quarterly (for each 15 minutes).
The charge for each minute is
Total minutes in 3 hours 15 minutes are =
The labor charge for 195 minutes is
Total charge by the electrician is
Therefore, the cost for the job that takes 3 hours and 15 minutes is
Chapter 4 Solutions
Algebra 1
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