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Question
Which situation is best represented by the following equation?
8x + 6 = 38
Responses
A Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $4 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $4 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
B Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
C Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $6 per hour to walk the dogs, plus an additional $8 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $6 per hour to walk the dogs, plus an additional $8 for giving them a bath once a week. What is x, the number of hours Albert worked last week, if he earned $38?
D Albert walks his neighbor's 2 dogs several times a week if the weather is nice. He earns $8 per hour to walk the dogs, plus an additional $6 per hour for giving them a bath. What is x, the number of hours Albert worked last week, if he earned $38?
The equation in question is 8x + 6 = 38. This represents a situation where there is a fixed amount (the "+ 6") and a variable amount that depends on the number of hours worked (the "8x", where x is the number of hours).
Here's the breakdown of each response:
A. Incorrect - This response suggests Albert earns $4 per hour, but the equation has an 8 as the coefficient of x, not 4.
B. Correct - This response aligns with the equation, where Albert earns $8 per hour (matching the "8x" in the equation) and an additional $6 for giving the dogs a bath once a week (the "+ 6" in the equation).
C. Incorrect - This response suggests Albert earns $6 per hour and an additional $8 for a bath, which does not match the "8x" and "+ 6" in the equation.
D. Incorrect - This response suggests an hourly earning of $8 for walking the dogs and an additional $6 per hour for bathing them, which is not consistent with the "+ 6" in the equation as that implies a one-time additional amount, not per hour.
Therefore, the situation best represented by the equation 8x + 6 = 38 is option B, where Albert gets paid $8 per hour for walking the dogs and a one-time additional $6 for bathing them, with the total earnings for the week being $38.