Answer:To determine which job Addison should take and how much more she will earn, let's calculate the earnings for each job based on her estimated total monthly sales of $18,000.
Job 1:
Job 1 offers a commission rate of 24%. The earnings (
�
1
E
1
) for Job 1 can be calculated as:
�
1
=
Total Monthly Sales
×
Commission Rate
E
1
=Total Monthly Sales×Commission Rate
�
1
=
18
,
000
×
0.24
E
1
=18,000×0.24
�
1
=
4
,
320
E
1
=4,320
Job 2:
Job 2 has a salary of $4,000 plus a commission of 12.25% on her monthly sales over $14,500. Let's calculate the commission first:
Commission
=
(
Total Monthly Sales
−
Threshold
)
×
Commission Rate
Commission=(Total Monthly Sales−Threshold)×Commission Rate
Commission
=
(
18
,
000
−
14
,
500
)
×
0.1225
Commission=(18,000−14,500)×0.1225
Commission
=
3
,
500
×
0.1225
Commission=3,500×0.1225
Commission
=
428.75
Commission=428.75
Now, add the salary and the commission to find the total earnings (
�
2
E
2
) for Job 2:
�
2
=
Salary
+
Commission
E
2
=Salary+Commission
�
2
=
4
,
000
+
428.75
E
2
=4,000+428.75
�
2
=
4
,
428.75
E
2
=4,428.75
Comparison:
Now, we compare the earnings from both jobs:
�
1
=
4
,
320
E
1
=4,320 (Job 1)
�
2
=
4
,
428.75
E
2
=4,428.75 (Job 2)
Addison should take Job 2 as it offers a higher earning potential. The difference in earnings is:
Difference
=
�
2
−
�
1
Difference=E
2
−E
1
Difference
=
4
,
428.75
−
4
,
320
Difference=4,428.75−4,320
Difference
=
108.75
Difference=108.75
So, Addison would earn $108.75 more each month by taking Job 2 compared to Job 1.
Explanation: