Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Write A Linear Equation

You are given the dollar value of a product in 2016 and the rate at which
the value of the product is expected to change during
the next 5 years. Use this information to write a linear
equation that gives the dollar value V of the product in
terms of the year t. (Let t = 16 represent 2016.)
2016 Value Rate

1. $3000 $150 decrease per year
2. $200 $6.50 increase per year

Let me see.

Question 1

V = dollar value of the product in terms of the year t.

V = 3,000 + 150t

Question 2

V = 200 + 6.50t

Correct?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Write A Linear Equation

hi

The first is a decrease so the gradient should be negative.

Also I would include the explanation of what t represents as it is unusual.

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

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Write A Linear Equation

hi

The first is a decrease so the gradient should be negative.

Also I would include the explanation of what t represents as it is unusual.

Bob

Question 1

V = 3,000 - 150t, where t = years

The problem tells us that t is years.

Last edited by mathland (2021-05-08 03:37:51)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Write A Linear Equation

Does it?

the dollar value V of the product in terms of the year t

That's what you have done.

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

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Write A Linear Equation

Does it?

the dollar value V of the product in terms of the year t

That's what you have done.

Bob

I meant to type t in place of y. It's  a typo.