The function will be given f(x) = -4 ( x -0.5)
<h3 /><h3>What is the equation of a line passing through two points?</h3>
Graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

We can see that the line is passing through the points ( 0.5,0) and ( 0,-2). so we will find the function by using the equation of the line passing through two points.
Write an equation for the trend line.
(x₁, y₁) → (0.5,0)
(x₂, y₂) → (0, -2)
Then we have
y - 0 = ( -2 - 0)/( 0 - 0.5)(x - 0.5)
y - 0 = ( -2/-0.5) ( x - 0.5)
y = -4 ( x -0.5)
Learn more about straight-line equations here:
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Based on the calculations, the first three (3) iterations of the given function are 120, 96 and 76.8.
<h3>How to find the first three iterations?</h3>
In this exercise, you're required to find the first three (3) iterations of the given function. Thus, we would substitute the value of x₀ into the function and then evaluate as follows:
<u>First iteration:</u>
f(x) = 0.80x
f(x₀) = 0.80x₀
f(150) = 0.80 × 150
f(150) = 120.
<u>Second iteration:</u>
f(x) = 0.80x
f(x₁) = 0.80x₁
f(120) = 0.80 × 120
f(120) = 96.
<u>Third iteration:</u>
f(x) = 0.80x
f(x₂) = 0.80x₂
f(96) = 0.80 × 96
f(120) = 76.8.
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Value if y should be a = 97
83+97=180
Answer:
The cable is 5 Meters long.
Step-by-step explanation: