Question

the cost of buying uniforms for new track members can be found by the equation c=12+35u, where u is the number of uniforms bought. There are between 10 and 15 new members. find the domain and range.

Answer 1

`c = 12 +35 u`

Where c represent the cost of buying uniforms and u the uniforms bought. We also know that we have between 10 and 15 new members so then our domain would be:

`10 \leq u \leq 15`

And in order to find the range we can replace in the original equation the value of u=10 and u =15 and we got:

`c(10) = 12+ 35*10 =362`

`c(15) = 12+ 35*15 =537`

And the range for this case would be:

`362 \leq c \leq 537`

Explanation:

For this case we have the following function given:

`c = 12 +35 u`

Where c represent the cost of buying uniforms and u the uniforms bought. We also know that we have between 10 and 15 new members so then our domain would be:

`10 \leq u \leq 15`

And in order to find the range we can replace in the original equation the value of u=10 and u =15 and we got:

`c(10) = 12+ 35*10 =362`

`c(15) = 12+ 35*15 =537`

And the range for this case would be:

`362 \leq c \leq 537`