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
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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.
