Answer:
8/3
Step-by-step explanation:
1) The two lines are <em>perpendicular</em>. (Correct choice: True)
2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
<h3>How to analyze and interpret linear functions</h3>
Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:
Exercise 1
If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:
m · m' = - 1
[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]
(- 1 / 1) · (1 / 1)
- 1
The two lines are <em>perpendicular</em>. (Correct choice: True)
Exercise 2
In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:
m = ($ 10 - $ 0) / (1 h - 0 h)
m = $ 10 per hour
The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
To learn more on linear functions: brainly.com/question/21107621
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Answer:
4 months.
Step-by-step explanation:
We can write formulas for the amount each person paid after x months. These will be
Brian = 60 + 42.95x
Michael = 0 + 57.95x
So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation
60 + 42.95x = 57.95x
60 = (57.95 - 42.95)x
60 = 15x
x = 4
After four months.
