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Tonia makes 11 bracelets an hour. Tonia’s number of bracelets made is a function of the number of hours she spends making them.

Part II: Last week, Tonia made bracelets for 18 hours. This week, she made bracelets for 26 hours. Using the function you wrote in Part I, determine the number of bracelets made for each of the two weeks.

Last week: Tonia made bracelets for 18 hours and made a total of ____ bracelets.
This week: Tonia made bracelets for 26 hours and made a total of ____ bracelets.

1 answer

To determine the number of bracelets Tonia made, we can use the function based on her production rate. If Tonia makes 11 bracelets per hour, the total number of bracelets \( B \) she makes can be expressed as:

\[ B(h) = 11h \]

where \( h \) is the number of hours spent making bracelets.

Now, let's calculate the number of bracelets she made for each of the two weeks:

  1. Last week (18 hours): \[ B(18) = 11 \times 18 = 198 \] So, Tonia made a total of 198 bracelets last week.

  2. This week (26 hours): \[ B(26) = 11 \times 26 = 286 \] So, Tonia made a total of 286 bracelets this week.

In conclusion:

  • Last week: Tonia made a total of 198 bracelets.
  • This week: Tonia made a total of 286 bracelets.