Switch Gears Activity Boxes sends a new building activity in the mail each month. Derek prepaid an 8-month subscription for his daughter. He signed up during their holiday sale and received 15 $ off the total cost. Derek paid 81 $ in all. Which equation can Derek use to find x, the regular cost per month? Choices: (A)8(x - 15) = 81 (B)15x - 8 = 81 (C)15(x - 8) = 81 (D)8x - 15 = 81

Question

Switch Gears Activity Boxes sends a new building activity in the mail each month. Derek prepaid an 8-month subscription for his daughter. He signed up during their holiday sale and received 15 $ off the total cost. Derek paid 81 $ in all. Which equation can Derek use to find x, the regular cost per month?   Choices: (A)8(x - 15) = 81 (B)15x - 8 = 81 (C)15(x - 8) = 81 (D)8x - 15 = 81

Bytelearn · Accepted Answer

Identify total cost:  Identify the total cost before the discount. Derek paid $81 after a $15 discount for an 8-month subscription. So, the total cost before the discount was $81 + $15 = $96. Determine regular cost:  Determine the regular cost per month. Divide the total cost before the discount by the number of months to find the regular cost per month, x. So, x = $96 / 8 = $12 per month. Formulate the equation:  Formulate the equation. The total cost before the discount is the regular cost per month times the number of months minus the discount. So, the equation is 8x - 15 = 81.

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