Question

question #1 for this item, select the answers from the drop - down menus to complete the statements. two employees at a department store each earn a different base pay for each week of work. each employee also earns a different percentage for the amount of merchandise sold, or commission rate. the table shows the functions that represent each employee’s weekly pay with respect to the total amount, in dollars, of merchandise sold, x.

employee	pay (in dollars)
2	$p(x)=0.03x + 400$

the base pay for employee 1 is
the base pay for employee 1 is
larger smaller
than the base pay for employee 2 by
$5 $20
per week.
the commission rate for employee 1 is
larger smaller
than the commission rate for employee 2 by

Explanation:

Step1: Identify base - pay values

The base - pay is the constant term in the linear pay functions. For Employee 1, the pay function is $P(x)=0.025x + 420$, so the base - pay is 420. For Employee 2, the pay function is $P(x)=0.03x + 400$, so the base - pay is 400.

Step2: Compare base - pay values

$420>400$, and $420 - 400=20$. So the base - pay for Employee 1 is larger than the base - pay for Employee 2 by 20.

Step3: Identify commission - rate values

The commission rate is the coefficient of $x$ in the linear pay functions. For Employee 1, the commission rate is 0.025. For Employee 2, the commission rate is 0.03.

Step4: Compare commission - rate values

$0.025<0.03$, so the commission rate for Employee 1 is smaller than the commission rate for Employee 2.

Answer:

The base pay for Employee 1 is larger than the base pay for Employee 2 by $20$.
The commission rate for Employee 1 is smaller than the commission rate for Employee 2.