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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

Respuesta :

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!

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