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1 answer:
Option (C) It means the technician charges a fixed amount of $75 for the repair is correct.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The graph of the equation is given:
From the graph the equation of the straight line will be:
y = 45x + 75
For the y-intercept plug x = 0
y = $75
The y-intercept represents the technician charging a fixed amount of $75 for the repair.
Thus, option (C) It means the technician charges a fixed amount of $75 for the repair is correct.
The graph is attached is in the picture.
Learn more about the straight line here:
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The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵ , where
and are any two ordered pairs in the table
∵ = (1 , 20)
∵ = (3 , 10)
∴
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
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You can learn more about the linear equation in brainly.com/question/4326955
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