There are five hundred eighty-eight jelly beans in a bowl. Hector, Michael, and Jolene decide to share the jelly beans equally.
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Write the equation of the function
Express the function as:
In:
--- (1)
In
--- (2)
Divide (2) by (1)
Substitute 5/6 for b in (1)
The function:
So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.
Since our touchscreen starts off at a value of 1200, that will be our a variable.
Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.
In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.
Using our info above, we can solve for y, which is the cost after x years.
In context, after 3 years the touchscreen will only be worth $506.