799 represents the initial value of the painting
The painting will be worth $926 after 5 years to the nearest dollar
Step-by-step explanation:
The form of the exponential function is , where
- a is the initial value ⇒ (at x = 0)
- b is the growth/decay factor ⇒ (rate of change)
- If b > 1, then the function is growth ⇒ (increasing)
- If 0 < b < 1, then the function is decay ⇒ (decreasing)
The value of a rare painting has increased each year since it was
found at a garage sale
The value of the painting is modeled by the function
We need to know what 799 represents and what the painting will
be worth after 5 years
∵
∵ The form of the function is
- By comparing the two forms
∴ a = 799 and b = 1.03
∵ a is the initial value at x = 0
∴ 799 represents the initial value of the painting
∵ x represents the number of years
∴ x = 5
- Substitute the value of x in the function by 5
∵
∴ f(x) = 926.26
∴ The painting will be worth $926 after 5 years to the nearest dollar
799 represents the initial value of the painting
The painting will be worth $926 after 5 years to the nearest dollar
Learn more:
You can learn more about the functions in brainly.com/question/10382470
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