A salesman working at a furniture store receives a monthly base salary plus a commission of $100 for each $1000 of furniture sales.
If the value of furniture sold is $5000 he receives a monthly salary of $2300.
How much is his monthly salary if the value of furniture solid is $7500?
I'm not even sure how to begin to set this up to solve??
To calculate the salesman's monthly salary for a given value of furniture sold, you need to determine two components: the base salary and the commission.
Let's break down the given information to understand how to set up the equation:
1. The salesman receives a commission of $100 for each $1000 of furniture sales. This means that for every $1000 in sales, the commission is $100.
2. When the value of furniture sold is $5000, the salesman receives a monthly salary of $2300. So, the total commission earned from the $5000 in sales is $2300 - the base salary.
Now, we can set up the equation to solve for the base salary and calculate the monthly salary for different values of furniture sold:
Let's represent the value of furniture sold as "x" (in thousands). So, for the given situation:
Commission earned = ($1000 / $100) * $100
Base salary + Commission earned = $2300
We can set up the equation using these values:
Base salary + [(x * $1000) / $100] = $2300
Now, we can solve the equation for a value of "x" equal to $7500:
Base salary + [(7500 * $1000) / $100] = $2300
Simplify the equation:
Base salary + $75,000 = $2300
Subtract $75,000 from both sides:
Base salary = $2300 - $75,000
Base salary = -$72,700
Based on the given information, it seems that there is an error in the equation or values provided. A negative base salary does not make sense in this context. Please double-check the values or the given information to ensure accuracy.
y = base + 100 s/1000
2300 = base + 100 (5000)/1000
2300 = base + 500
base = 1800
y = 1800 + 100(7500)/1000
y = 1800 + 750
y = 2550