Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

ANSWER THE QUESTION FOR BRAINLIST !!

In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .

Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010

Enter your answer by filling in the boxes

f(x) = ______ • (_______) ^x

Sagot :

mhanifa

Answer:

  • [tex]f(x) = 175000*1.025^x[/tex]

Step-by-step explanation:

Exponential function has the form

  • [tex]f(x) = ab^x[/tex]

Where a- initial value, b- growth rate

Find the growth rate b

  • [tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]

The function is

  • [tex]f(x) = 175000*1.025^x[/tex]
Nayefx

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

  • a is the initial value
  • b is the growth
  • x is the independent variable
  • y is the dependent variable

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

  • [tex]a \implies 175000[/tex]

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

  • [tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.