two employees at a department store each earn a different base pay for each week of work. each employee also…

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 employees weekly pay with respect to the total amount, in dollars, of merchandise sold, x.\n\n| employee | pay (in dollars) |\n| ---- | ---- |\n| 1 | p(x)=0.025x + 420 |\n| 2 | p(x)=0.03x + 400 |\n\nthe base pay for employee 1 is (larger, smaller) than the base pay for employee 2 by ($5, $20) per week.\n\nthe commission rate for employee 1 is (larger, smaller) than the commission rate for employee 2 by (0.5%, 5%) per week.

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 employees weekly pay with respect to the total amount, in dollars, of merchandise sold, x.\n\n| employee | pay (in dollars) |\n| ---- | ---- |\n| 1 | p(x)=0.025x + 420 |\n| 2 | p(x)=0.03x + 400 |\n\nthe base pay for employee 1 is (larger, smaller) than the base pay for employee 2 by ($5, $20) per week.\n\nthe commission rate for employee 1 is (larger, smaller) than the commission rate for employee 2 by (0.5%, 5%) per week.

Answer

Explanation:

Step1: Identify base - pay formulas

The pay formula for Employee 1 is $P(x)=0.025x + 420$, where the base - pay is $420$. The pay formula for Employee 2 is $P(x)=0.03x + 400$, where the base - pay is $400$.

Step2: Compare base - pays

$420>400$, and $420 - 400=20$. So Employee 1's base - pay is larger than Employee 2's by $20$ per week.

Step3: Identify commission - rate formulas

The commission rate for Employee 1 is $0.025$ or $2.5%$, and the commission rate for Employee 2 is $0.03$ or $3%$.

Step4: Compare commission - rates

$0.025<0.03$, and $0.03−0.025 = 0.005$ or $0.5%$. So Employee 1's commission rate is smaller than Employee 2's by $0.5%$ per week.

Answer:

The base pay for Employee 1 is LARGER than the base pay for Employee 2 by $20$ per week. The commission rate for Employee 1 is SMALLER than the commission rate for Employee 2 by $0.5%$ per week.