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Math  /  Data & Statistics

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Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000\$ 5,000, whi plan would allow Maya to earn the most money in a month? \begin{tabular}{|c|c|c|} \hline Plan & Monthly base salary & Commission rate \\ \hline A & $500\$ 500 & 8%8 \% \\ \hline B & $600\$ 600 & 7%7 \% \\ \hline C & $700\$ 700 & 6%6 \% \\ \hline D & $800\$ 800 & 5%5 \% \\ \hline \hline \end{tabular} plan A plan B plan CC plan D

Studdy Solution

STEP 1

What is this asking? Which pay plan is best for Maya if she usually sells about $5,000\$5,000 worth of stuff each month? Watch out! Don't forget to consider *both* the base salary and the commission when comparing the plans.

STEP 2

1. Calculate earnings for Plan A
2. Calculate earnings for Plan B
3. Calculate earnings for Plan C
4. Calculate earnings for Plan D
5. Compare and find the best plan

STEP 3

Plan A offers a **base salary** of $500\$500.
Woohoo! Free money!

STEP 4

Now, let's calculate the **commission**.
Maya's sales are $5,000\$5,000 and the commission rate is 8%8\%, which can be written as 0.080.08.
So, the commission she earns is $5,000⋅0.08=$400\$5,000 \cdot 0.08 = \$400.
Not bad!

STEP 5

To find her **total earnings** with Plan A, we **add** the base salary and the commission: $500+$400=$900\$500 + \$400 = \$900.

STEP 6

Plan B has a slightly higher base salary of $600\$600.
Nice!

STEP 7

The commission rate for Plan B is 7%7\% or 0.070.07.
So, her commission is $5,000⋅0.07=$350\$5,000 \cdot 0.07 = \$350.

STEP 8

Her **total earnings** under Plan B are $600+$350=$950\$600 + \$350 = \$950.
Even better!

STEP 9

Plan C offers a base salary of $700\$700.

STEP 10

With a commission rate of 6%6\% (0.060.06), her commission is $5,000⋅0.06=$300\$5,000 \cdot 0.06 = \$300.

STEP 11

Her **total earnings** with Plan C are $700+$300=$1,000\$700 + \$300 = \$1,000.
This is getting exciting!

STEP 12

Plan D has the highest base salary of $800\$800.

STEP 13

The commission rate is 5%5\% (0.050.05), making her commission $5,000⋅0.05=$250\$5,000 \cdot 0.05 = \$250.

STEP 14

Her **total earnings** with Plan D are $800+$250=$1,050\$800 + \$250 = \$1,050.
Wow, the highest so far!

STEP 15

Let's recap the total earnings for each plan: Plan A: $900\$900 Plan B: $950\$950 Plan C: $1,000\$1,000 Plan D: $1,050\$1,050

STEP 16

Plan D gives Maya the highest earnings!

STEP 17

Plan D would allow Maya to earn the most money, with a total of $1,050\$1,050.

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