Math / Algebra

QuestionThe graph shows a computer's battery charge over time. The equation for the computer's battery charge is $y = -8x + 86$ . Select the meaning of the slope and y-intercept from the drop-down menus. In the scenario, the slope represents . In the scenario, the y-intercept represents . Computer Battery Power Battery Charge (%) Time (hours) CLEAR CHECK

Studdy Solution

STEP 1

What is this asking? We need to figure out what the slope and y-intercept mean in the context of a computer's battery charge over time. Watch out! Don't just look at the numbers - think about what they represent in the real world of battery charge!

STEP 2

1. Identify the equation
2. Interpret the slope
3. Interpret the y-intercept

STEP 3

Alright, let's get our hands on this battery equation!
We're given that the computer's battery charge is represented by the equation $y = -8x + 86$
Where $y$ is the battery charge percentage, and $x$ is the time in hours.
This is our trusty linear equation in the form $y = mx + b$ , where $m$ is our slope and $b$ is our y-intercept.

STEP 4

Now, let's zoom in on that slope!
In our equation, the slope is -8.
But what does this negative number mean in terms of our battery?

STEP 5

Remember, the slope tells us the rate of change.
In this case, it's how fast our battery charge is changing over time.
The negative sign means the charge is decreasing.

STEP 6

So, our battery is losing 8% of its charge every hour.
That's the rate at which our computer is using up its battery power!

STEP 7

Next up, let's tackle the y-intercept.
In our equation, the y-intercept is 86.
But what does this number represent in our battery scenario?

STEP 8

The y-intercept is the value of $y$ when $x = 0$ .
In other words, it's the battery charge at the very beginning, before any time has passed.

STEP 9

So, 86 represents the initial battery charge as a percentage.
Our computer started out with an 86% charge!

STEP 10

In this scenario, the slope (-8) represents the rate at which the battery charge decreases per hour.
The y-intercept (86) represents the initial battery charge percentage.

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Studdy Solution

STEP 1

What is this asking? We need to figure out what the slope and y-intercept mean in the context of a computer's battery charge over time. Watch out! Don't just look at the numbers - think about what they represent in the real world of battery charge!

STEP 2

1. Identify the equation
2. Interpret the slope
3. Interpret the y-intercept

STEP 3

STEP 4

Now, let's zoom in on that slope!
In our equation, the slope is -8.
But what does this negative number mean in terms of our battery?

STEP 5

Remember, the slope tells us the rate of change.
In this case, it's how fast our battery charge is changing over time.
The negative sign means the charge is decreasing.

STEP 6

So, our battery is losing 8% of its charge every hour.
That's the rate at which our computer is using up its battery power!

STEP 7

Next up, let's tackle the y-intercept.
In our equation, the y-intercept is 86.
But what does this number represent in our battery scenario?

STEP 8

The y-intercept is the value of $y$ when $x = 0$ .
In other words, it's the battery charge at the very beginning, before any time has passed.

STEP 9

So, 86 represents the initial battery charge as a percentage.
Our computer started out with an 86% charge!

STEP 10

In this scenario, the slope (-8) represents the rate at which the battery charge decreases per hour.
The y-intercept (86) represents the initial battery charge percentage.

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Studdy Solution

STEP 1

What is this asking? We need to figure out what the slope and y-intercept mean in the context of a computer's battery charge over time. Watch out! Don't just look at the numbers - think about what they represent in the real world of battery charge!

STEP 2

1. Identify the equation2. Interpret the slope3. Interpret the y-intercept

STEP 3

STEP 4

Now, let's zoom in on that slope!In our equation, the slope is **-8**.But what does this negative number mean in terms of our battery?

STEP 5

Remember, the slope tells us the **rate of change**.In this case, it's how fast our battery charge is changing over time.The negative sign means the charge is **decreasing**.

STEP 6

So, our battery is losing 8% of its charge every hour.That's the rate at which our computer is using up its battery power!

STEP 7

Next up, let's tackle the y-intercept.In our equation, the y-intercept is **86**.But what does this number represent in our battery scenario?

STEP 8

The y-intercept is the value of yyy when x=0x = 0x=0.In other words, it's the battery charge at the very beginning, before any time has passed.

STEP 9

So, 86 represents the **initial battery charge** as a percentage.Our computer started out with an 86% charge!

STEP 10

In this scenario, the slope (-8) represents the **rate at which the battery charge decreases per hour**.The y-intercept (86) represents the **initial battery charge percentage**.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Identify the equation
2. Interpret the slope
3. Interpret the y-intercept

Now, let's zoom in on that slope!
In our equation, the slope is -8.
But what does this negative number mean in terms of our battery?

Remember, the slope tells us the rate of change.
In this case, it's how fast our battery charge is changing over time.
The negative sign means the charge is decreasing.

So, our battery is losing 8% of its charge every hour.
That's the rate at which our computer is using up its battery power!

Next up, let's tackle the y-intercept.
In our equation, the y-intercept is 86.
But what does this number represent in our battery scenario?

The y-intercept is the value of $y$ when $x = 0$ .
In other words, it's the battery charge at the very beginning, before any time has passed.

So, 86 represents the initial battery charge as a percentage.
Our computer started out with an 86% charge!

In this scenario, the slope (-8) represents the rate at which the battery charge decreases per hour.
The y-intercept (86) represents the initial battery charge percentage.