Question
upstudy study bank question image url

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

Ask by Valdez Dawson. in the United States
Dec 23,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

After 5 hours, there will be approximately 250 bacteria.

Solution

To calculate the number of bacteria after 5 hours using the function \( B(h) = 82 \times (1.25)^{h/s} \), we'll assume \( s = 1 \) since it's not specified. \[ B(5) = 82 \times (1.25)^5 \] First, calculate \( 1.25^5 \): \[ 1.25^5 = 3.0517578125 \] Now, multiply by 82: \[ B(5) = 82 \times 3.0517578125 \approx 250 \] **Answer:** 250

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Mind Expander

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!

Related Questions

Latest Biology Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy