QuestionFind the zero of the function representing a jet descending from 800 feet at 80 feet/min.

Studdy Solution

STEP 1

Assumptions1. The fighter jet starts at an altitude of800 feet. . The jet descends at a constant rate of80 feet per minute.
3. The zero of the function represents the time at which the jet reaches an altitude of0 feet.

STEP 2

We can model this situation with a linear function, where the altitude (y) is a function of time (x). The function is of the form $y = mx + b$ where m is the slope (rate of descent), b is the y-intercept (initial altitude), x is the time, and y is the altitude.

STEP 3

Given the initial altitude and the rate of descent, we can write the function as $y = -80x +800$ where -80 is the rate of descent (the negative sign indicates a decrease in altitude),800 is the initial altitude, x is the time, and y is the altitude.

STEP 4

The zero of the function is the x-value for which y equals0. We can find this by setting y to0 in the equation and solving for x.
$0 = -80x +800$

STEP 5

To isolate x, we can add80x to both sides of the equation.
$80x =800$

STEP 6

Finally, we divide both sides of the equation by80 to solve for x.
$x =800 /80$

STEP 7

Calculate the value of x.
$x =800 /80 =10$ The zero of the function is10. This means that the fighter jet will reach an altitude of0 feet after10 minutes.

Was this helpful?

QuestionFind the zero of the function representing a jet descending from 800 feet at 80 feet/min.

Studdy Solution

STEP 1

Assumptions1. The fighter jet starts at an altitude of800 feet. . The jet descends at a constant rate of80 feet per minute.
3. The zero of the function represents the time at which the jet reaches an altitude of0 feet.

STEP 2

We can model this situation with a linear function, where the altitude (y) is a function of time (x). The function is of the form $y = mx + b$ where m is the slope (rate of descent), b is the y-intercept (initial altitude), x is the time, and y is the altitude.

STEP 3

Given the initial altitude and the rate of descent, we can write the function as $y = -80x +800$ where -80 is the rate of descent (the negative sign indicates a decrease in altitude),800 is the initial altitude, x is the time, and y is the altitude.

STEP 4

The zero of the function is the x-value for which y equals0. We can find this by setting y to0 in the equation and solving for x.
$0 = -80x +800$

STEP 5

To isolate x, we can add80x to both sides of the equation.
$80x =800$

STEP 6

Finally, we divide both sides of the equation by80 to solve for x.
$x =800 /80$

STEP 7

Calculate the value of x.
$x =800 /80 =10$ The zero of the function is10. This means that the fighter jet will reach an altitude of0 feet after10 minutes.

Get Studdy

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.

QuestionFind the zero of the function representing a jet descending from 800 feet at 80 feet/min.

Studdy Solution

STEP 1

Assumptions1. The fighter jet starts at an altitude of800 feet. . The jet descends at a constant rate of80 feet per minute.3. The zero of the function represents the time at which the jet reaches an altitude of0 feet.

STEP 2

We can model this situation with a linear function, where the altitude (y) is a function of time (x). The function is of the formy=mx+by = mx + by=mx+bwhere m is the slope (rate of descent), b is the y-intercept (initial altitude), x is the time, and y is the altitude.

STEP 3

Given the initial altitude and the rate of descent, we can write the function asy=−80x+800y = -80x +800y=−80x+800where -80 is the rate of descent (the negative sign indicates a decrease in altitude),800 is the initial altitude, x is the time, and y is the altitude.

STEP 4

The zero of the function is the x-value for which y equals0. We can find this by setting y to0 in the equation and solving for x.0=−80x+8000 = -80x +8000=−80x+800

STEP 5

To isolate x, we can add80x to both sides of the equation.80x=80080x =80080x=800

STEP 6

Finally, we divide both sides of the equation by80 to solve for x.x=800/80x =800 /80x=800/80

STEP 7

Calculate the value of x.x=800/80=10x =800 /80 =10x=800/80=10The zero of the function is10. This means that the fighter jet will reach an altitude of0 feet after10 minutes.

Get Studdy

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.

Assumptions1. The fighter jet starts at an altitude of800 feet. . The jet descends at a constant rate of80 feet per minute.
3. The zero of the function represents the time at which the jet reaches an altitude of0 feet.

We can model this situation with a linear function, where the altitude (y) is a function of time (x). The function is of the form $y = mx + b$ where m is the slope (rate of descent), b is the y-intercept (initial altitude), x is the time, and y is the altitude.

Given the initial altitude and the rate of descent, we can write the function as $y = -80x +800$ where -80 is the rate of descent (the negative sign indicates a decrease in altitude),800 is the initial altitude, x is the time, and y is the altitude.

The zero of the function is the x-value for which y equals0. We can find this by setting y to0 in the equation and solving for x.
$0 = -80x +800$

To isolate x, we can add80x to both sides of the equation.
$80x =800$

Finally, we divide both sides of the equation by80 to solve for x.
$x =800 /80$

Calculate the value of x.
$x =800 /80 =10$ The zero of the function is10. This means that the fighter jet will reach an altitude of0 feet after10 minutes.