The equation representing the number of basketball lessons Sam can take is L = ($150 - $20) / $15, which simplifies to L = 8.67. Since partial lessons aren't practical, Sam can attend 8 whole lessons with his budget.
To write an equation that represents the number of lessons, L, that Sam can take with his budget for basketball training, we start by considering his total budget and the costs he will incur. Sam has a total budget of $150, and he has already spent $20 on a basketball. The cost per lesson is $15. To find the remaining budget for lessons, we subtract the cost of the basketball from the total budget: $150 - $20 = $130.
Next, to determine how many lessons Sam can afford, we take the remaining budget and divide it by the cost per lesson. Thus, the equation is L = $130 / $15 per lesson. Simplifying this, we get L = 8.67, which means Sam can afford 8 lessons with some money remaining.
However, since partial lessons are not typically feasible, Sam can only take whole lessons. Therefore, Sam can afford 8 lessons with his budget, and this can be represented in an equation as:
L = ($150 - $20) / $15