Question

mark and Jordan are car salesmen. mark's weekly compensation consists of $ 500 plus 2.5 % of the total amount of his sales for the week. jordan's weekly compensation consists of $ 400 plus 2 % of the total amount of his sales for the week. Jordan had x dollars in total sales last week. if d = [ ( 0.025 ) ( 1.5 x ) + 500 ] − [ ( 0.02 ) ( x ) + 400 ] represents the difference between mark’s compensation and Jordan's compensation for the week, then which of the following is a correct statement?

Answer 1

We can simplify the expression for d:

d = (0.025)(1.5x) + 500 - (0.02)x - 400

d = 0.0375x + 100

This expression represents the difference between Mark's compensation and Jordan's compensation for the week, given that Jordan had x dollars in total sales.

To determine which of the following is a correct statement, we need to substitute different values of x and compare the values of d for Mark and Jordan.

For example, if Jordan had $10,000 in total sales last week, then:

• Mark's compensation = $500 + 0.025(10,000) = $750
• Jordan's compensation = $400 + 0.02(10,000) = $600
• The difference, d = $750 - $600 = $150

Therefore, we can say that if Jordan had $10,000 in total sales last week, then the difference between Mark's compensation and Jordan's compensation for the week was $150.

However, we cannot determine which of the following is a correct statement without additional information, as the statement options have not been provided in the prompt.