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Perform the transformations given by the word problem. Then, use the final function to calculate the cost.
Transformations: Vertical shrink and translation
Total cost: $40
We are given a function representing the cost of an annual pass and x days of camping f(x)=20x+80.
This transformation represents a vertical shrink of the function f(x).
Additionally, senior citizens get an additional discount of $30. We have to subtract the discount from the function g(x) in order to determine the final function h(x). h(x)=(10x+40)- 30 ⟺ h(x)=10x+10 This transformation represents a vertical translation of the function g(x).
Now that we have the final function, we can get the cost of a three-day camping trip for a senior citizen by either substituting 3 into our function h(x) or sketching a horizontal line at 3.
