Question

Katherine is a personal chef. She charges \(115 per four-person meal. Her monthly expenses are \)3,150. How many four-person meals must she sell in order to make a profit of at least $1,900?

Short answer

The number of four-person meals are about$44$.

Step-by-step solution

Step 1. Given information

The cost of one four-person meal is $115$and monthly expenses are $3150$.

Step 2. Suppose the number of four-person meals

Let the number of four-person meals be $x$

The number of four-person meals times $\$115$must be greater than expense of $\$3150$plus profit of $\$1900$.

localid="1645763827407" $$\begin{gathered} 115x\ge 3150+1900 \\ 115x\ge 5050 \\ x\ge 43.91 \end{gathered}$$

Round off the number to its nearest integer:

$x\ge 44$

Therefore, the number of four-person meals must be $44$.