Answer: The total pay, p, for Maddie selling t T-shirts at an event can be represented by the following function:
p(t) = 45 + 0.15(12t)
where the first term, 45, represents the base pay that Maddie receives for each event, and the second term, 0.15(12t), represents the commission that she earns based on the sales revenue from the T-shirts she sells. Since Maddie sells 12 T-shirts at each event, the total sales revenue from the T-shirts she sells is 12t, and the commission she earns is 15% of that revenue, or 0.15(12t).
To find the number of T-shirts Maddie would have to sell at an event to triple her base pay of $45, we need to solve the following equation:
p(t) = 3(45)
Substituting the expression for p(t) into this equation, we get:
45 + 0.15(12t) = 135
Simplifying and solving for t, we get:
1.8t = 90
t = 50
Therefore, Maddie would have to sell 50 T-shirts at an event to triple her base pay of $45.
Explanation: