Question

as a salesperson, you earn $200 for every computer system you sell. on average, 20% of the total sales contacts you make each week lead to a sale. based on this average, about how many total contacts should you make this week to earn $1,200?

a. 6
b. 8
c. 25
d. 30
e. 35

Explanation:

Step1: Calculate number of systems to sell

Let the number of systems to sell be $n$. Since we earn $200$ per system and want to earn $1200$, we use the formula $200n = 1200$. Solving for $n$, we get $n=\frac{1200}{200}=6$.

Step2: Calculate total sales - contacts

Let the total number of sales - contacts be $x$. We know that 20% (or 0.2) of $x$ is equal to the number of systems sold ($n = 6$). So, $0.2x=6$. Solving for $x$, we get $x=\frac{6}{0.2}=30$.

Answer:

D. 30