Question

Unit 6 lesson 9: linear functions sample work

its asking suppose you are constructing a lego technic land rover defender with a total of 2573 pieces. Every minute you had 5 pieces. So how would I write an equation in slope- intercept form to model the number of pieces placed in relation to time.

Answer 1

Initially, you have 2573 pieces.

You use 5 pieces each minute.

Right when you start, you have 2573 pieces.

One minute after that, you have 2573 - 5 pieces.

Another minute after, you have 2573 - 2*5 pieces.

Another minute after, you have 2573 - 3*5 pieces.

And so on.

You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.

Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:

f(t) = 2573 - 5*t

That represents the number of pieces that you have after t minutes.