1. Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12

$129.44

Step-by-step explanation:

15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =

= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67

= $31.88 + $35.25 + $32.36 + $29.95

= $129.44

$129.44

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!