Question

Store a sells fabric for 3.00 per yard Store b sells packages of fabric for 3.00 The cost of fabric at either can be modeled by the function c(t)=3t where t is the number of yards of fabric at store a and t is the number of packages of fabric at store b The domain of c(t)=3t is all real numbers

Answer 1

`0 \le t < \infty`

Explanation:

Given

`c(t) = 3t`

Required

The domain

From the question, we understand that t represents number of yards/packages (depending on the store)

This means that:

`t \ge 0` ---- the start value

`t < \infty` --- the end value

Rewrite
`t \ge 0` as
`0 \le t`

So, we have:
`0 \le t` and
`t < \infty`

Hence, the domain is:
`0 \le t < \infty`