Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Access Ramp

A wooden ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform.

The answer is y = (-2/25)x + 30

Question:

Can I please have a step by step explanation  of how this linear equation is form?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: Access Ramp

It's a matter of plugging in the information in y = mx + c.

The gradient is 2/25 and it's negative as the ramp is sloping down. It starts at 30 so that's the intercept.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Access Ramp

A wooden ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform.

Can I please have a step by step explanation  of how this linear equation is form?

Last edited by amnkb (2023-11-22 03:00:44)

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Access Ramp

It's a matter of plugging in the information in y = mx + c.

The gradient is 2/25 and it's negative as the ramp is sloping down. It starts at 30 so that's the intercept.

Bob

Where did -2/25 come from?

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Access Ramp

A wooden ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform.

Can I please have a step by step explanation  of how this linear equation is form?

What information in the application states that negative 2 over 25 is the slope or coefficient of x?

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Access Ramp

A wooden ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform.

Can I please have a step by step explanation  of how this linear equation is form?

What information in the application states that negative 2 over 25 is the slope or coefficient of x?

sry

Last edited by amnkb (2023-11-22 12:15:46)

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Access Ramp

A wooden ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25-inch run. Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance x from the platform.

Can I please have a step by step explanation  of how this linear equation is form?

What information in the application states that negative 2 over 25 is the slope or coefficient of x?

sry

Ok.