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14) Bill is looking to work at two different car dealerships. The Subaru dealership is going

to offer him a monthly pay of $1200 plus 4.5% of his total sales. His monthly sales can
be represented by x. The BMW dealership will give him a flat pay of $1600 monthly.
Use an inequality to show when it would be better for him to choose to work at Subaru
then BMW. Solve your inequality and determine the amount of sales he needs to make
in order for it to be a better choice to work at Subaru.

1 Answer

5 votes

Answer:

1) $1,200 + x × 4.5/100 > $1,600

2) Bill has to make more than $8,888.
\bar 8, in total sales monthly for it to be a better choice to work at Subaru

Explanation:

1) The given parameters are;

The amount of monthly pay the Subaru dealership is offering = $1,200

The percentage of his total sales, x, Subaru dealership is offering = 4.5%

The flat monthly pay the BMW dealership is offering = $1,600

Therefore, the inequality to show when it would be better for him to choose to work for Subaru is given as follows;

$1,200 + x × 4.5/100 > $1,600

2) The solution of the above inequality is given as follows;

$1,200 + x × 4.5/100 > $1,600

x × 4.5/100 > $1,600 - $1,200

x × 4.5/100 > $400

x > $400 × 100/4.5 = $8,888.
\bar 8

Therefore, in order to make it better to work at Subaru, Bill has to sell more than $8,888.
\bar 8 worth of cars every month.

User Yang Zhang
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