Question

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.

Answer 1

Part A: To write a linear equation for the total number of hair ties \( h \) based on the number of days \( d \), we start with the initial number of hair ties Tommy had at the start of the week and add the number of hair ties he steals each day.

1. Tommy starts with 5 hair ties.
2. He steals 3 hair ties each day.

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

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

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

Tommy would have stolen **32 hair ties** after 9 days.