A salesman receives a fixed salary of $500 per week. In addition he is paid 12% of all sales over $1000. Write the formula that describes how his weekly salary, s, depends on his weekly revenue, r. (The revenue is the amount of money he collects by selling the goods.)
If r>1000, s(r)=500+0.12r
If r≤1000, s(r)=500
s = 500 + 0.12(r-1000) if s > 1000
s = 500 if s <= 1000
To calculate the salesman's weekly salary, we can start with the fixed salary of $500 and then add on the additional earnings based on his sales. The additional earnings are 12% of all sales over $1000, so we'll subtract $1000 from the weekly revenue and then take 12% of the result. This can be expressed as:
s = $500 + 0.12 * (r - $1000)
Therefore, the formula that describes how his weekly salary, s, depends on his weekly revenue, r, is:
s = $500 + 0.12 * (r - $1000)
To find the formula that describes how the salesman's weekly salary depends on his weekly revenue, we can break it down into two parts: the fixed salary and the additional commission based on sales.
1. Fixed Salary: The salesman receives a fixed salary of $500 per week. This means that regardless of the sales, he will earn $500 as his base salary.
2. Commission: The salesman is also paid 12% of all sales over $1000. So, if his weekly revenue is r, the commission amount can be calculated as 12% of (r - $1000). Note that the commission is only applicable when the weekly revenue exceeds $1000. If the revenue is less than or equal to $1000, the commission would be $0.
Combining these two parts, the formula that describes how his weekly salary, s, depends on his weekly revenue, r, can be written as:
s = $500 + 0.12(r - $1000)
or
s = $500 + 0.12r - $120
This formula calculates the total weekly salary based on the fixed salary of $500 and the commission earned on the sales over $1000.
A salesman receives a weekly salary of $450. In addition, $20 is paid for every item sold in excess of 200 items. How much extra is received from the sale of 214 items ?
On a week when his revenue is greater than $1000
s(r) = 500+0.12(r-1000)
On a week when his revenue is not greater than $1000
s(r)= 500