Still not matching options. But let’s suppose the question had \( C(t) = \frac{10(t+3)}{t+2} \)? No.

February 22, 2026

$Still not matching options. But let’s suppose the question had \( C(t) = \frac{10(t+3)}{t+2} \)? No.$

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\( (t+2)^2 = 10 \Rightarrow t = \sqrt{10} - 2 \approx 3.16 - 2 = 1.16 \) — no.
But if the function were \( C(t) = 10(t+2)^{-1} \), and rate is -1, then
\frac{dC}{dt} = -10(t+2)^{-2} = -1 \Rightarrow (t+2)^2 = 10 \Rightarrow t = \sqrt{10} - 2 \approx 1.16
Wait — perhaps the rate is \( -1 \) at integer \( t \). Try t=1: -10/9 ≈ -1.11, t=2: -10/16 = -0.625 — no.
But perhaps the intended answer is when \( t = 2 \), but -0.625.
Wait — maybe the rate is magnitude? But question says "rate of change".

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