Two integers a and b have a product of 12 what is the least possible sum of a and b?
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This is a word problem signifying an algebraic expression.
Translating this to mathematics:
add 4 to both sides.
divide 16 to both sides.
this is:
Translating this to mathematics:
add 4 to both sides.
divide 16 to both sides.
this is:
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.