Keshad gets paid $2,115 per month plus 6% of his sales. His brother earns $3,157 per month. For what amount of total sales will Keshad's monthly pay be higher than his brother's monthly pay? (Your answer should be accurate to 2 decimal places.)

Respuesta :

Answer:

From $17,366.68 sales, Keshad earns more than his brother.

Step-by-step explanation:

Giving the following information:

Keshad gets paid $2,115 per month plus 6% of his sales.

His brother earns $3,157 per month.

First, we will structure the total pay formula:

Keshad= 2,115 + 0.06x

x= sales

Brother= 3,157

Now, we equal both formulas and isolate x:

2,115 + 0.06x = 3,157

x= $52,616.67

We have determined the indifference point. At $17,366.67 sales, both earn the same.

Keshad= 2,115 + 0.06*17,366.67= $3,157

From $17,366.68 sales, Keshad earns more than his brother.

For sales amount of greater than $17366.67 ,  Keshad monthly pay be higher than his brother's monthly pay.

Inequality:

Let us consider that amount of total sales is represented by x.

Given that, Keshad gets paid $2,115 per month plus 6% of his sales.

Keshad gets paid , [tex]=2115+0.06x[/tex]

His brother earns $3,157 per month.

For Keshad monthly pay be higher than his brother's monthly pay.

               [tex]2115+0.06x>3157\\\\0.06x>3157-2115\\\\0.06x>1042\\\\x>\frac{1042}{0.06}\\ \\x>17366.67[/tex]

For sales amount of greater than $17366.67 ,  Keshad monthly pay be higher than his brother's monthly pay.

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