Final answer:
Roger must sell 16 pairs of shoes in a day to meet his daily earnings goal.
Step-by-step explanation:
To find the number of pairs of shoes Roger must sell in a day to meet his daily earnings goal, we can set up an equation:
Total earnings = Wages + Commissions
Where,
Wages = $40
Commissions = $4.50 per pair of shoes sold
Let the number of pairs of shoes Roger must sell be x.
Therefore, the equation becomes:
$112 = $40 + $4.50x
Solving for x, we can subtract $40 from both sides:
$72 = $4.50x
Dividing both sides by $4.50, we get:
x = 16
Therefore, Roger must sell 16 pairs of shoes in a day to meet his daily earnings goal.