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:
y=5/3x+4
Step-by-step explanation:
Answer:
3.50
Step-by-step explanation:
Total Quality Points Gained= C=2, A=4,B=3 and A=4
Sum the Points 2+4+3+4 (4)=25
Average= Total Points/ Total number of courses
A=25/7=3.50
Answer:
Goal is not achievable
Step-by-step explanation:
There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.
This means he will take a time of 1/60 hours per lap.
Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h
We now need to know the speed he travels on the second lap.
Average speed = Total distance/Total time
60mph = 2/( 1/30 + T2)
60 = 2/( (1 + 30T2)/30)
60 = 2 divided by (1 + 30T2)/30
60 = 2 * (30)/1 + 30T2
60( 1 + 30T2) = 60
1 + 30T2 = 1
30T2 = 0
T2 = 0
This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.
