Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week. Which equation can you use to find h, the length of each afternoon practice in hours? Choices: (A)4(h + 3) = 20 (B)3(h + 4) = 20 (C)4h + 3 = 20 (D)3h + 4 = 20 How long is each afternoon practice? Write your answer as a whole number or a simplified fraction. ____ hours

Question

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week. Which equation can you use to find h, the length of each afternoon practice in hours?   Choices: (A)4(h + 3) = 20 (B)3(h + 4) = 20 (C)4h + 3 = 20 (D)3h + 4 = 20  How long is each afternoon practice? Write your answer as a whole number or a simplified fraction.   ____ hours

Bytelearn · Accepted Answer

Identify total practice hours: Identify the total number of practice hours per week and the number of days the team practices. The team practices for a total of 20 hours each week, and they practice 4 days per week.Determine morning practice hours: Determine the total number of morning practice hours per week. Since they practice for 3 hours each morning, and there are 4 practice days, the total number of morning practice hours per week is 3 hours/day * 4 days/week = 12 hours/week.Calculate afternoon practice hours: Calculate the total number of afternoon practice hours per week. Since the total practice hours per week is 20 hours, and we have already accounted for 12 hours in the morning, the remaining hours for afternoon practice per week is 20 hours/week - 12 hours/week = 8 hours/week.Write equation for afternoon hours: Write an equation to represent the total afternoon practice hours. Let h represent the length of each afternoon practice in hours. Since there are 4 practice days, the total afternoon practice hours per week is 4 days/week * h hours/day. This total must equal the 8 hours/week we calculated in Step 3. The equation is 4h = 8.Solve equation for h: Solve the equation for h. Divide both sides of the equation by 4 to isolate h. 4h / 4 = 8 / 4 h = 2Check equation against choices: Check the equation against the given choices. The correct equation that represents the situation is 4h = 8, which is not listed in the choices. However, if we add the morning practice hours to both sides of the equation, we get 4h + 12 = 20, which is equivalent to 4(h + 3) = 20 when factoring out the 4. This corresponds to choice (A).

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