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Question
1. Linear Functions(1 point)
1. Tommy the cat is constantly stealing hair ties. At the start of the week, he had already stolen 5 hair ties. Each day, Tommy steals 3 more hair ties.

Part A: Write a linear equation that represents the total number of hair ties (h) based on the number of days that have passed (d).

h(d)=


Part B: Tommy would have stolen
hair ties after 9 days.

1 answer

Part A: To write a linear equation that represents the total number of hair ties (h) based on the number of days that have passed (d), we can start with the initial number of hair ties stolen and then add the daily amount stolen.

Tommy starts with 5 hair ties and steals 3 more each day. The equation can be written as:

\[ h(d) = 3d + 5 \]

Part B: To find out how many hair ties Tommy would have stolen after 9 days, we can substitute \( d = 9 \) into the equation:

\[ h(9) = 3(9) + 5 \]

Calculating that gives:

\[ h(9) = 27 + 5 = 32 \]

Therefore, Tommy would have stolen 32 hair ties after 9 days.