tuesday, march 4th 2025\nname _ date _ assignment: homework\n1. a company is organizing a corporate training…

tuesday, march 4th 2025\nname _ date _ assignment: homework\n1. a company is organizing a corporate training session. the cost of the training includes a $50 venue fee and an additional $20 per employee for materials and refreshments.\na. write an equation to represent the total cost c for x employees attending the training session.\nb. how much will the total cost be if 25 employees attend the training session?\nc. how many employees can attend the training session if the total cost is $650?

tuesday, march 4th 2025\nname _ date _ assignment: homework\n1. a company is organizing a corporate training session. the cost of the training includes a $50 venue fee and an additional $20 per employee for materials and refreshments.\na. write an equation to represent the total cost c for x employees attending the training session.\nb. how much will the total cost be if 25 employees attend the training session?\nc. how many employees can attend the training session if the total cost is $650?

Answer

Explanation:

Step1: Determine cost - equation components

The fixed cost is the venue fee of $50 and the variable cost is $20 per employee. So the equation for the total cost $C$ for $x$ employees is $C = 20x+50$.

Step2: Calculate cost for 25 employees

Substitute $x = 25$ into the equation $C = 20x + 50$. Then $C=20\times25 + 50=500 + 50=550$.

Step3: Find number of employees for a given cost

Set $C = 650$ in the equation $C = 20x+50$. We get $650=20x + 50$. First, subtract 50 from both sides: $650 - 50=20x$, so $600 = 20x$. Then divide both sides by 20: $x=\frac{600}{20}=30$.

Answer:

a. $C = 20x+50$ b. $550$ c. $30$