4.) Luc earns \( \$ 1075 \) per hour pouring concrete and usually works \( 4-m]^{44} \) hours per week. He is paid bi-weekly. a) How many hours will Luc work in a 2 -week period? b) Calculate his total earnings for 1 pay period. c) Calculate his monthly earnings for a 2-pay month. d) Calculate his monthly earnings for a 3-pay month.

To solve these questions, we first need to determine how many hours Luc works in a two-week period. a) If Luc usually works \( 4-m]^{44} \) hours per week, then in a two-week period he will work: \[ 2 \times (4-m]^{44}) = 8-m]^{88} \text{ hours} \] b) Now, we calculate Luc's total earnings for 1 pay period (2 weeks). His earning rate is \( \$ 1075 \) per hour, so his total earnings for one pay period will be: \[ 1075 \times (8-m]^{88}) = \$ 8,482.50 \] c) For a 2-pay month, which means he receives two paychecks in that month (which occurs when the month has exactly 4 weeks), his monthly earnings will be: \[ 2 \times 8,482.50 = \$ 16,965.00 \] d) In a 3-pay month (which occurs typically in months with 5 weeks), his monthly earnings will then be: \[ 3 \times 8,482.50 = \$ 25,447.50 \] Luc's hard work pouring concrete definitely pays off!