Question

I need help on linear and non linear equations please help.

Is each situation a linear or a nonlinear model?

Answer 1

1.
The height of a ball when it is thrown into the air is shown by equation h = −16t2 + 20t + 3, where h is the height of the ball and t is time in seconds since the ball was released.

Answer 2

2.
A salesperson’s monthly earnings are shown by the equation e = 1200 + 0.04s, where e represents the salesperson’s monthly earnings and s is her monthly sales.

Answer 3

3.
The amount of a 500 g sample of a radioactive substance that remains over time is given by the equation , where d is the number of days since the sample weight was 500 g.

Answer 4

4.
Mikaela’s distance from home as she drives at a constant rate is given by the equation d = 368 – 42t, where d is her distance from home and t is time in hours.

Answer 5

I think #1 is non linear #2 is linear #3 is non linear and #4 is linear

Answer 6

Hello,

The equation for question number three seems to be vacant.

Answer 7

Press F5 on your keyboard

Answer 8

Did that help?

Answer 9

I know about that work around for special characters, however the equation is missing.

"The amount of a 500 g sample of a radioactive substance that remains over time is given by the equation , where d is the number of days since the sample weight was 500 g."

See: "equation , where d is the number"

After equation, the equation is not listed.

Answer 10

Oh I apologize that was my fault one moment

Answer 11

The amount of a 500 g sample of a radioactive substance that remains over time is given by the equation A=500*(0.2)^d , where d is the number of days since the sample weight was 500 g.

Answer 12

That is number 3

Answer 13

1. Non-linear.
Reason: Note there is an exponent to a variable causing it to be non-linear.

2. Linear.
Reason: When graphed it outputs a straight line.

3. Non-linear.
Reason: Note there is an exponent to a variable causing it to be non-linear.

4. Linear.
Reason: When graphed it outputs a straight line.

So you are correct on all of them.

Answer 14

YAY :D here is a medal could you check ove 1 more to see if i got it right?

Answer 15

And i gotta fan you almost forgot

Answer 16

Go ahead an post it.

Answer 17

The altitude of a plane as it begins to descend is shown by the linear equation
a = 30,000 – 1500m, where a is the plane’s altitude, in feet, and m is minutes.

What is the plane’s altitude when m = 12?

Answer 18

I think its 12300ft

Answer 19

Okay.

You are given the equation:
\(a = 30000 – 1500m\)

Where a is the plane’s altitude, in feet, and m is minutes.
What is the plane’s altitude when \(m = 12\)?

Note that \(m = 12\).
Substitute that into your equation.
\(a = 30000 – 1500(12)\)
\(a = 12000\)

So: 12000ft is the plane's altitude when \(m\) is set to \(12\).

Answer 20

I apologize my internet went down but thank you for your help

Answer 21

No worries, you are welcome.