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The percentage of battery remaining after a certain number of hours after a cellphone is turned on can be represented by the graph shown.

Graph with x axis labeled number of hours and y axis labeled percent of battery remaining, with line that passes through the points 0 comma 100 and 2 comma 80 and 4 comma 60.

Part A: Write an equation in slope-intercept form to describe the relationship in the graph. (2 points)

Part B: Explain how you determined the equation. (1 point)

Part C: What is the meaning of the slope in the given situation? (1 point)



Answer :

MrRoyal

The solution to the linear relations are

  • The line equation is y = -10x + 100
  • Calculate slope, then the linear equation
  • The slope represents the percentage of battery that reduces each hour i.e. 10%

The equation in slope-intercept form

From the question, we have the following ordered pairs

(x, y) = (0, 100), (2, 80) and (4, 60)

Also, we understand that the relation is a linear relation

So, we start by calculating the slope of the relation

This is calculated using

m = (y₂ - y₁)/(x₂ - x₁)

Where

m = Slope

(x₁, y₁) = (0, 100),

(x₂, y₂) = (2, 80)

So, we have

m = (100 - 80)/(0 - 2)

Evaluate

m = -10

The equation is then calculated as

y = m(x - x₁) + y₁

Where

m = -10 and (x₁, y₁) = (0, 100),

So, we have

y = -10(x - 0) + 100

Evaluate

y = -10x + 100

How the equation is calculated

The equation is calculated by calculating the slopes of the line and then calculating the linear equation in slope-intercept form

The meaning of the slope

In (a), we have

m = -10

This represents the slope

i.e.

Slope = -10

From the question, we understand that:

The graph represents the percentage of battery that remains after a certain number of hours

So, the interpretation of the slope is that the battery reduces by 10% each hour

Read more about linear relations at

https://brainly.com/question/4074386

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