High School

Suppose that a baby weighs 7 pounds at birth and gains 0.3 pounds a week thereafter. For what range of weeks will the baby's weight be between 19 and 28 pounds?

A) 41 to 60 weeks
B) 61 to 80 weeks
C) 81 to 100 weeks
D) 101 to 120 weeks

Answer :

Final answer:

To find the range of weeks for the baby's weight, we set up an inequality and solve. The range is 41 to 60 weeks.

Explanation:

To find the range of weeks for which the baby's weight will be between 19 and 28 pounds, we can set up an inequality. Let W represent the number of weeks. The baby's weight can be calculated using the formula:

Weight = 7 + 0.3W

So we want to find the values of W that make the weight between 19 and 28 pounds:

19 ≤ 7 + 0.3W ≤ 28

Solving this inequality, we get:

12 ≤ 0.3W ≤ 21

Dividing each term by 0.3, we have:

40 ≤ W ≤ 70

Therefore, the range of weeks for which the baby's weight will be between 19 and 28 pounds is 41 to 60 weeks (option A).

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