An individual ticket at Wild Waves has been marked down $30 to $26.40. A family pass has been marked down from $80 to $71.40. Which deal offers a better discount? (show your work)
and can u show ur work*

9514 1404 393

  $30 ticket

Step-by-step explanation:

The cheaper ticket is 3/8 the cost of the expensive one. If the tickets have the same discount the discounted cheaper ticket would cost ...

  (3/8)($71.40) = $26.78

The cheaper ticket costs less than that, so the $30 ticket has a better discount.

Figuring the discount on each ticket is more work. I like to do as little work as possible. (If you do that work, you find the $30 ticket is discounted 12%, and the $80 ticket is discounted 10.75%.)

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!