Question

story problem
brandon started a new tutoring business. he charges a flat fee of $6 to cover materials, plus $0.50 per minute of tutoring.
let x represent the number of minutes a student is tutored, and y represent the total cost in dollars.
9 (a) write an equation to represent the relationship between time tutored and total cost.

Explanation:

Step1: Identify fixed and variable costs

Fixed cost = $6; variable cost = $0.50 per minute ($x$)

Step2: Build total cost equation

Total cost $y$ = fixed cost + (variable cost × minutes)
$y = 6 + 0.50x$

Answer:

$y = 0.50x + 6$