A plummer charges $50 with an hourly rate of $65.

What's an equation for this function?

If the plummer's minimal charge has to be a half hour and you are willing to pay no more than $310, find a reasonable domain and range.

Question

A plummer charges $50 with an hourly rate of $65. 

What's an equation for this function? 

If the plummer's minimal charge has to be a half hour and you are willing to pay no more than $310, find a reasonable domain and range.

anonymous · Answer

equation would be 50+65x=310

jigglypuff314 · Answer

"no more than" would be an inequality
the constant is  50
the rate is 65
so  y = (rate)x + (constant)
therefore an equation would be   y = 65x + 50
then to know when it is less than 310
65x + 50 ≤ 310

anonymous · Answer

So how do I find the domain and range...?

jigglypuff314 · Answer

domain would be to solve for x from   65x + 50 ≤ 310

anonymous · Answer

Is it x ≤ 4 ?

jigglypuff314 · Answer

correct! :)
and range would be  y ≤ 310

anonymous · Answer

Thanks!

jigglypuff314 · Answer

you're welcome :)