Bacteria is known lo grow exponentially. The function \( B(h)=82(1.25)^{h / s} \) represents the number of bacteria, \( B(h) \), as a function of hours, \( h \). How many bacteria will there be after only 5 hours to the nearest bacteria? In other words, calculate \( B(5) \). \( (1 \) point) C. 280 584 .250 - 120
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To find the number of bacteria after 5 hours, we need to substitute \( h = 5 \) into the function \( B(h) = 82(1.25)^{h/s} \). However, we notice that the variable \( s \) is not defined. If we assume \( s = 1 \) for simplicity, we can calculate: \[ B(5) = 82(1.25)^{5/1} = 82(1.25)^5 \] Calculating \( (1.25)^5 \) gives approximately 3.052. Therefore: \[ B(5) \approx 82 \times 3.052 \approx 250.26 \] Rounding to the nearest bacteria, we find \( B(5) \approx 250 \). Next, let's quickly check the potential pitfalls! One common mistake would be miscalculating the exponent or not clarifying the value of \( s \). Always double-check your assumptions and calculations for precision!