At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
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]
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!
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.