Ask Question
15 November, 22:48

Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour of cooking, the internal temperature will increase by 25%. The ribs are safe to eat when they reach 165°F.

Use the drop-down menus to complete an inequality that can be solved to find how much time, t, it will take for the internal temperature to reach at least 165°F.

+5
Answers (1)
  1. 15 November, 23:37
    0
    Answer: You need to wait at least 6.4 hours to eat the ribs.

    t ≥ 6.4 hours.

    Step-by-step explanation:

    The initial temperature is 40°F, and it increases by 25% each hour.

    This means that during hour 0 the temperature is 40° F

    after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

    T = 40° F + 0.25*40° F = 1.25*40° F

    after another hour we have another increase of 25%, the temperature now is:

    T = (1.25*40° F) + 0.25 * (1.25*40° F) = (40° F) * (1.25) ^2

    Now, we can model the temperature at the hour h as:

    T (h) = (40°f) * 1.25^h

    now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

    So we have:

    (40°f) * 1.25^h = 165° F

    1.25^h = 165/40 = 4.125

    h = ln (4.125) / ln (1.25) = 6.4 hours.

    then the inequality is:

    t ≥ 6.4 hours.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour of cooking, ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers