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Today, Howell has 75 kiwis. He will eat 2 of them every day. Is the number of kiwis Howell has left proportional to the number of days that pass? Choose 1 answer: (A) Yes (B) No

Today, Howell has 7575 kiwis. He will eat 22 of them every day.\newlineIs the number of kiwis Howell has left proportional to the number of days that pass?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No

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Q. Today, Howell has 7575 kiwis. He will eat 22 of them every day.\newlineIs the number of kiwis Howell has left proportional to the number of days that pass?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
  1. Understand Proportionality Definition: To determine if the number of kiwis Howell has left is proportional to the number of days that pass, we need to understand the definition of proportionality. Two quantities are proportional if they have a constant ratio. In this case, we need to check if the ratio of the number of kiwis left to the number of days passed remains constant as days go by.
  2. Denote Days Passed as dd: Let's denote the number of days that pass as dd. Howell eats 22 kiwis per day, so the number of kiwis he eats after dd days is 2d2d.
  3. Calculate Kiwis Eaten After dd Days: The initial number of kiwis is 7575. After dd days, the number of kiwis left would be the initial number minus the number of kiwis eaten, which is 75−2d75 - 2d.
  4. Check for Proportionality Ratio: To check for proportionality, we need to see if the ratio (number of kiwis left)/(number of days passed)=(75−2d)/d(\text{number of kiwis left})/(\text{number of days passed}) = (75 - 2d)/d is constant. This ratio simplifies to 75/d−275/d - 2. We can see that as the number of days dd increases, the ratio changes because the term 75/d75/d decreases. Therefore, the ratio is not constant.
  5. Conclusion: Since the ratio of the number of kiwis left to the number of days passed is not constant, the number of kiwis Howell has left is not proportional to the number of days that pass.

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