Which of the answer choices represents the following situation?
DeSean is a lawyer who charges $3,000 per client, plus $2,000 for each hour the client works with DeSean. What are DeSean's legal fees for a client after a certain number of hours?
f(x)=1000x+6000
f(x)=2000+500x
f(x)=2000+3000x
f(x)=3000+2000x
The correct answer choice that represents the situation described is "f(x) = 3000 + 2000x." This equation represents DeSean's legal fees for a client after a certain number of hours in which he charges $3,000 per client, plus $2,000 for each hour the client works with DeSean.
The answer choice that represents the situation is:
f(x) = 3000 + 2000x.
In this equation, the constant term 3000 represents the initial fee charged by DeSean, while the coefficient of x (2000) represents the additional fee charged per hour of work.
To determine the correct answer choice, we need to analyze the given situation:
DeSean is a lawyer who charges $3,000 per client, plus $2,000 for each hour the client works with DeSean.
Let's break this down into mathematical terms:
- The initial fee of $3,000 per client is represented by a constant term.
- The additional charge of $2,000 per hour is represented by a linear term, where the coefficient of the variable represents the rate of change ($2,000 per hour).
Now we can compare these mathematical terms to the answer choices:
f(x) = 1000x + 6000
This option does not match the given situation, as it only includes a constant term and a linear term without the appropriate coefficients.
f(x) = 2000 + 500x
This option does not match the given situation, as it includes a constant term and a linear term, but with the wrong coefficients.
f(x) = 2000 + 3000x
This option does not match the given situation either, as it includes a constant term and a linear term, but with the wrong coefficients.
f(x) = 3000 + 2000x
This option matches the given situation perfectly, as it includes both the constant term ($3,000 per client) and the linear term ($2,000 per hour) with the correct coefficients. Therefore, this is the correct answer choice.