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Question 10 (4 points)

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Heidi wants to buy a bike. She has already saved $57 and plans to save $12 per week. Consider the following information:y=12x+57, where x= the number of weeks and y = the total amount saved

Which of the following statements is true?

Question 10 options:

The total saved will increase by $57 every 12 weeks

The total saved will increase by $12 every week

The total saved will increase by $57 every week

The total saved will increase by $12 every 57 weeks

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Answer 1

To analyze the equation given, \( y = 12x + 57 \), where \( x \) represents the number of weeks and \( y \) is the total amount saved:

• The term "12x" indicates that for every week (each increment of \( x \)), Heidi saves an additional $12.
• The constant \( 57 \) represents the amount she has already saved.

Based on this, let's evaluate the answer choices:

1. The total saved will increase by $57 every 12 weeks.

   • Incorrect. This statement misinterprets the function; the total does not increase by $57 every 12 weeks.

2. The total saved will increase by $12 every week.

   • Correct. This is true as Heidi saves $12 each week.

3. The total saved will increase by $57 every week.

   • Incorrect. The increase per week is $12, not $57.

4. The total saved will increase by $12 every 57 weeks.

   • Incorrect. The increase of $12 is per week, not dependent on a larger timeframe like 57 weeks.

Thus, the correct statement is: The total saved will increase by $12 every week.