Question

ANSWER THE QUESTION FOR BRAINLIST !!

Answer 1

Answer:

$y = 175000 \cdot {1.025}^{x}$

Step-by-step explanation:

recall exponential function:

$y = a \cdot {b}^{x}$

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,

• $a \implies 175000$

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

• $b \implies 1 + \frac{2.5}{100} = 1.025$

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

$y = 175000 \cdot {1.025}^{x}$

and we're done!

Answer 2

Answer:

• $f(x) = 175000*1.025^x$

Step-by-step explanation:

Exponential function has the form

• $f(x) = ab^x$

Where a- initial value, b- growth rate

Find the growth rate b

• $b = 1 + 2.5/100 = 1 + 0.025 = 1.025$

The function is

• $f(x) = 175000*1.025^x$