Answer:
20ft
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)
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The girls collected 8.5 pounds more than the boys in class 4
<h3>Complete question</h3>
Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are shown in the chart below.
In Class 4, how much more money did the girls collect than the boys?
<h3>How to determine the difference in amounts?</h3>
From the attached chart, we have the following amount in class 4:
Girls = 12 pounds
Boys = 3.5 pounds
The difference is calculated as:
Difference = Girls - Boys
So, we have:
Difference = 12 pounds - 3.5 pounds
Evaluate
Difference = 8.5 pounds
Hence, the girls collected 8.5 pounds more than the boys in class 4
Read more about charts at:
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