WILL GIVE BRAINLIEST TO FIRST ANSWER
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)

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-10-19T18:16:54+02:00

The solution to the question are

The equation of the line is y = -10x + 100
The interpretation of the slope is that the battery reduces by 10% each hour

The given parameters from the question are:

To calculate the equation of the relationship, we need to first calculate the slope

The slope of the relation is calculated using the following slope formula

m = (y₂ - y₁)/(x₂ - x₁)

In this case, we have

m = Slope

(x₁, y₁) = (0, 100),

(x₂, y₂) = (4, 60)

Substitute the known values in the equation

m = (100 - 60)/(0 - 4)

Evaluate the quotient

m = -10

The equation of the relation is represented using the following linear equation

y = m(x - x₁) + y₁

Where

m = -10 and (x₁, y₁) = (0, 100),

Substitute the known values in the equation

y = -10(x - 0) + 100

Evaluate

y = -10x + 100

The following steps are taken when the equation is being calculated

In part (a), we have the slope to be

m = -10

The question implies that the graph is the graph of the percentage of battery left after x hours

This means that the slope represents the percentage of battery that reduces each hour i.e. 10%