Question
A person has 415 dollars in a cookie jar. Every month they add 30 additional dollars to the jar. The linear function that models this situation is \( S(x)= \) where \( x \) represents Select an answerv and \( S(x) \) represents Select an answerv. How much money will be in the jar after 12 months? dollars How long will it take to save \( \$ 1075 \) ? months
Ask by Chandler Salazar. in the United States
Mar 17,2025
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Answer
The linear function is \( S(x) = 415 + 30x \), where \( x \) is the number of months and \( S(x) \) is the total money in the jar. After 12 months, there will be \$775 in the jar. It will take 22 months to save \$1075.
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S(x) = 415 + 30x, where \( x \) represents the number of months and \( S(x) \) represents the total amount of money in the cookie jar after \( x \) months. After 12 months, the amount of money in the jar will be \( S(12) = 415 + 30(12) = 415 + 360 = 775 \) dollars. To find out how long it will take to save $1075, set \( S(x) = 1075 \): \[ 415 + 30x = 1075 \] \[ 30x = 660 \] \[ x = 22 \] So, it will take 22 months to save $1075.