Question

The Ludwig Employment Agency posted a job in the advertising field. The fee is 18% of

three weeks' pay. The job pays d dollars annually. Express the agency fee algebraically.

Answer 1

To express the agency fee algebraically, divide the annual pay by 52 to find the three weeks' pay. Then, multiply the three weeks' pay by 0.054 to find the agency fee.

Step-by-step explanation:

To express the agency fee algebraically, we need to first find the three weeks' pay by dividing the annual pay by 52 (assuming there are 52 weeks in a year). Let's assume the annual pay is represented by the variable d. Then, the three weeks' pay can be calculated as (d/52) * 3. The agency fee is 18% of the three weeks' pay, which can be expressed as 0.18 * (d/52) * 3 or simplified as 0.054 * d.

Answer 2

`(27)/(2600)d`

Step-by-step explanation:

Job pays "d" dollars per year and there are 52 weeks in a year. So to find 3 weeks pay we can write:

`(3)/(52)*d`

The agency fee is basically 18% of that. 18%, in decimal, means 0.18

Note: to get percentage to decimal, we divide by 100, so 18% means 18/100=0.18, in fraction, it is 18/100 or 9/50

THus, the fee is
`((9)/(50))((3)/(52)*d)\\=(27)/(2600)d`