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).

7 answers

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 use the information given:

  1. Tommy starts with 5 hair ties.
  2. Each day, he steals 3 more hair ties.

The total number of hair ties after \( d \) days can be expressed as:

\[ h = 5 + 3d \]

This equation shows that the total number of hair ties \( h \) is equal to the initial amount (5) plus 3 times the number of days (d) that have passed.

wrong

I apologize for any confusion earlier. Let's go through it again carefully.

At the start of the week, Tommy the cat already had 5 hair ties. Each day he steals an additional 3 hair ties.

We want to represent the total number of hair ties (h) based on the number of days that have passed (d).

The correct linear equation would be:

\[ h = 5 + 3d \]

Where:

  • \( h \) is the total number of hair ties,
  • \( 5 \) is the initial number of hair ties,
  • \( 3d \) represents the number of hair ties Tommy steals after \( d \) days.

If this still does not align with what you expect, please clarify where it might not be meeting your criteria!

he stole 3 each day there are 7 days!

Thank you for your patience. Let's clarify the situation:

Tommy starts with 5 hair ties, and he steals 3 hair ties each day for 7 days.

  1. Initial amount of hair ties: 5
  2. Daily theft: 3 hair ties per day
  3. Days: Let's label \( d \) as the number of days.

The linear equation still correctly represents daily theft over any number of days:

\[ h = 5 + 3d \]

If you're looking to find out the total number of hair ties at the end of the week (after 7 days), you can substitute \( d = 7 \) into the equation:

\[ h = 5 + 3(7) \] \[ h = 5 + 21 \] \[ h = 26 \]

So, after 7 days, Tommy would have a total of 26 hair ties.

If your concern was with the overall context or a specific aspect, please let me know, and I'd be happy to adjust!

after 9 days

To find out the total number of hair ties Tommy has after 9 days, you can use the same linear equation:

\[ h = 5 + 3d \]

Now, substitute \( d = 9 \) into the equation:

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

So, after 9 days, Tommy would have a total of 32 hair ties.