An account executive receives a base salary plus a commission. On $20,000 in monthly sales, an account executive would receive compensation of $1,900. On $40,000 in monthly sales, an account executive would receive compensation of $2,700. Determine a linear function that yields the compensation y (in dollars) of a sales executive for x dollars in monthly sales.

The equation is y = 0.04x + 1100

Step-by-step explanation:

The computation of the linear function is as follows

Here the slope-intercept form could be used i.e.

y = mx + b

where,

x = monthly sales

and, y = compensation

 x_1         y_1         x_2        y_2        

($20,000, $1,900) ($40,000, $2,700)

Now  

m = (y_2 - y_1) ÷ (x_2 - x_1)  

= ($2,700 - $1,900) ÷ ($40,000 - $20,000)

= ($800) ÷ ($20,000)

= 2 ÷50

= 4%

Now for determining the b one of the ordered pairs could be chosen and then placing it into the above equation

 y = mx+b.

Let use (x_2, y_2) or ($40,000, $2,700)  

y = mx+b

$2,700 = 0.04 ($40,000)+b

$2,700 = $1,600 + b

b = $1,100

So,

The equation is y = 0.04x + 1100

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|