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.

Question

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.

Answer 1

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 number of hair ties Tommy already had and then add the number of hair ties he steals each day.

• Initial hair ties: 5
• Hair ties stolen per day: 3

The linear equation can be represented as: \[ h(d) = 5 + 3d \]

Part B:

To find the total number of hair ties Tommy would have stolen after 9 days, we can substitute \( d = 9 \) into the equation we derived in Part A.

\[ h(9) = 5 + 3(9) \] \[ h(9) = 5 + 27 \] \[ h(9) = 32 \]

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