could u help me? ### Understanding Cell Growth Through Exponential Equations**Description:**A recent scientific study identified nutrient B which helps cells to grow rapidly. Scientists conducting the study forgot to take an initial measurement, but after 3 hours observed that the petri dish contained 80 cells, and after 6 hours the cells had increased to 540. **Objective:**Write an equation that models the number of cells in the dish and fill in the blanks below. You can assume the asymptote is at $ y = 0 $.**Instructions:**1. **Identify the growth parameters:** We need to determine the values of constants $ a $ and $ b $ and the initial number of cells.2. **Formulate the exponential growth equation:** Using the information provided, create the equation.**Given Information:**- After 3 hours: 80 cells- After 6 hours: 540 cells**Formula:**The general form of the exponential growth equation is:\[ y = a \cdot b^t \]Where:- $ y $ is the number of cells at time $ t $- $ a $ is the initial number of cells- $ b $ is the growth factor- $ t $ is the time in hours**Blank Fields:**- The equation will use $ a = $ [type your answer] and $ b = $ [type your answer].- The initial amount in the petri dish was [type your answer] cells.**Steps to Solve:**1. **Find the growth factor $ b $:** - Use the given cell counts at different times to form equations and solve for $ b $. - \[ 80 = a \cdot b^3 \] - \[ 540 = a \cdot b^6 \]2. **Calculate $ a $:** - Solve the equations simultaneously to find the values of $ a $ and $ b $.Submit your answers in the blanks provided in the form above.

Name: could u help me? ### Understanding Cell Growth Through Exponential Equ
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: could u help me? ### Understanding Cell Growth Through Exponential Equations**Description:**A recent scientific study identified nutrient B which helps cells to grow rapidly. Scientists conducting the study forgot to take an initial measurement, but

We will find a , b and the initial number of cells in the petri dish as following.

Math

Algebra

A recent scientific study identified nutrient B which helps cells to grow rapidly. Scientists conducting the study forgot to take an initial measurement, but after 3 hours observed that the petri dish contained 80 cells, and after 6 hours the cells had increased to540. Write an equation that models the number of cells in the dish and fill in the blanks below. You can assume the asymptote is at y = 0. The equation will use a= type your answer. and b= type your answer. The initial amount in the petri dish was type your answer. cells.

A recent scientific study identified nutrient B which helps cells to grow rapidly. Scientists conducting the study forgot to take an initial measurement, but after 3 hours observed that the petri dish contained 80 cells, and after 6 hours the cells had increased to540. Write an equation that models the number of cells in the dish and fill in the blanks below. You can assume the asymptote is at y = 0. The equation will use a= type your answer. and b= type your answer. The initial amount in the petri dish was type your answer. cells.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A. Two golfing venues offer bays that customers con reserve to play various golf ing games. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Thank you.

Q: W 4. A cell phone company claims that the average time a person spends on their phone is 12.8 hours…

A: Let μ denote the population mean and x⎯⎯ denotes the sample mean. Then, μ=12.8 and x⎯⎯=12.2 Let n be…

Q: coSx.dx

A: Given: ∫excosxdx

Q: can you help ?

Q: What Is the equation of the graph? Oy= - x O y= 4 x OY=4x

A: Clearly the line is passing through the origin.

Q: Please this

Q: Does a statistics course improve a student's mathematics skills,as measured by a national test?…

A: From the given information, Student Before After Absolute Difference Sign 1 430…

Q: I need help

Q: Suppose the age that children learn to walk is normally distributed with mean 12 months and standard…

Q: I need help

A: Given, ∆JKL with KL = 11 ; LJ = 12 and JK = 4 We have to find the true statement about the…

Q: C- 16

A: when negative sign multiplied by negative then it becomes positive sign (-)×(-)=+

Q: I need help w/ 12 & 13 thanks

A: Problem 12:To solve the system using the inverse of a matrix.The given system is4x - 5y = 172x + 3y…

Q: image

Q: help me please

A: Given 12 + 22 + 32 + ⋅ ⋅ ⋅ + n2 = n(n+1)(2n+1)6Step 1 P(1) is true P(1) = I2 = 1 ⇒…

Q: can you do the rest of the missing parts

A: Since you have posted multiple questions, we will provide the solution only to the second…

Q: Thank you.

A: We have to find

Q: I need help

A: Given: 1. AB¯ has coordinates A-3,9 and B6,-12. 2. PQ¯ has coordinates P3,-6 and Q3,9. To Find: 1.…

Topic Video

Question

could u help me?

### Understanding Cell Growth Through Exponential Equations

**Description:**
A recent scientific study identified nutrient B which helps cells to grow rapidly. Scientists conducting the study forgot to take an initial measurement, but after 3 hours observed that the petri dish contained 80 cells, and after 6 hours the cells had increased to 540.

**Objective:**
Write an equation that models the number of cells in the dish and fill in the blanks below. You can assume the asymptote is at $ y = 0 $.

**Instructions:**
1. **Identify the growth parameters:** We need to determine the values of constants $ a $ and $ b $ and the initial number of cells.
2. **Formulate the exponential growth equation:** Using the information provided, create the equation.

**Given Information:**
- After 3 hours: 80 cells
- After 6 hours: 540 cells

**Formula:**
The general form of the exponential growth equation is:
\[ y = a \cdot b^t \]
Where:
- $ y $ is the number of cells at time $ t $
- $ a $ is the initial number of cells
- $ b $ is the growth factor
- $ t $ is the time in hours

**Blank Fields:**
- The equation will use $ a = $ [type your answer] and $ b = $ [type your answer].
- The initial amount in the petri dish was [type your answer] cells.

**Steps to Solve:**
1. **Find the growth factor $ b $:**
- Use the given cell counts at different times to form equations and solve for $ b $.
- \[ 80 = a \cdot b^3 \]
- \[ 540 = a \cdot b^6 \]

2. **Calculate $ a $:**
- Solve the equations simultaneously to find the values of $ a $ and $ b $.

Submit your answers in the blanks provided in the form above.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions