Pregunta
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The equation \( y=0.625 x-2.7 \) can be used to predict the number of minutes, \( y \), it takes Kahlil to check \( x \) emails. On Monday, Kahlil spent 25 minutes checking emails. On Tuesday, he checked 35 emails. Which is an accurate comparison? He spent 6 minutes more checking emails on Tuesday. He spent 6 minutes more checking emails on Monday. He spent 9 minutes more checking emails on Tuesday. He spent 9 minutes more checking emails on Monday.

Ask by Ford Dickson. in the United States
Feb 21,2025

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He spent 6 minutes more checking emails on Monday.

Solución

We first use the equation y = 0.625x – 2.7 to estimate the time it takes on Tuesday when Kahlil checks 35 emails. Step 1. Substitute x = 35 into the equation:   y = 0.625 × 35 – 2.7   y = 21.875 – 2.7   y = 19.175 (approximately) Step 2. Compare Tuesday’s time to Monday’s time:   Monday’s time = 25 minutes   Tuesday’s predicted time ≈ 19.2 minutes The difference is:   25 minutes – 19.2 minutes ≈ 5.8 minutes, which is about 6 minutes. Since Monday took about 6 minutes longer than Tuesday, the correct statement is:   He spent 6 minutes more checking emails on Monday.

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The Deep Dive

On Tuesday, Kahlil checked 35 emails. Plugging that into the equation, we have \( y = 0.625(35) - 2.7 = 21.75 - 2.7 = 19.05 \) minutes. On Monday, he spent 25 minutes checking emails. Comparing the two, he actually spent about \( 25 - 19.05 = 5.95 \) minutes more on Monday, which rounds to approximately 6 minutes. On Monday, Kahlil spent more time checking emails. So, he spent 6 minutes more checking emails on Tuesday is incorrect, but it is true that he spent 6 minutes more on Monday compared to Tuesday!

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