Question

a swimming pool company charges a one - time fee of $500 plus $50 per month for maintenance. if m represents the number of months of maintenance, which equation represents the total cost c of maintaining the pool?
a. $c = 450m$
b. $c = 500 + 50m$
c. $c = 500m$
d. $c = 50m - 500$
a landscaper charges $45 per hour with a $30 travel fee. write the equation for total charges c based on hours h worked.
a. $c = 75h$
b. $c = 45 + 30h$
c. $c = 45h + 30$
d. $c = 30h + 45$

Explanation:

First Question (Swimming Pool Cost)

Step1: Identify fixed and variable costs

The one - time fee of $500 is fixed. The variable cost is $50 per month, and for \( m \) months, the variable cost is \( 50m \).

Step2: Form the total cost equation

Total cost \( C \) is the sum of fixed cost and variable cost. So \( C = 500+50m \).

Step1: Identify fixed and variable costs

The travel fee of $30 is fixed. The variable cost is $45 per hour, and for \( h \) hours, the variable cost is \( 45h \).

Step2: Form the total cost equation

Total cost \( C \) is the sum of fixed cost and variable cost. So \( C=45h + 30 \).

Answer:

b. \( C = 500 + 50m \)

Second Question (Landscaper Charges)