Question

1. you make bracelets to see at a flea market. your revenue (in dollars) for selling x bracelets is given by f(x)=13x and your profit is $75 less than 60% of the revenue. what is your profit for selling 50 bracelets?

Explanation:

Step1: Find the profit - function

The profit $P(x)$ is $75$ less than $60\%$ of the revenue. The revenue function is $f(x)=13x$. So, $P(x)=0.6\times f(x)-75$. Substituting $f(x) = 13x$ into the profit - function, we get $P(x)=0.6\times13x - 75=7.8x-75$.

Step2: Calculate the profit for $x = 50$

Substitute $x = 50$ into the profit - function $P(x)$. Then $P(50)=7.8\times50-75$. First, calculate $7.8\times50 = 390$. Then $P(50)=390 - 75$.

Step3: Get the final result

$P(50)=315$.

Answer:

$315$