QuestionQ4 Fidel has a rare coin worth . Each decade, the coin's value increases by . Which kind of function 1 mark best models the relationship between time and the coin's value? Exponential function Linear function Neither
Studdy Solution
STEP 1
1. The initial value of the coin is \$550.
2. The coin's value increases by 10% every decade.
3. We need to determine the type of function that best models the relationship between time and the coin's value.
STEP 2
1. Understand the nature of the percentage increase.
2. Determine the mathematical model that represents this increase.
3. Identify the type of function based on the model.
STEP 3
A percentage increase implies that the value of the coin grows by a fixed percentage of its current value over each time period (decade).
STEP 4
The value of the coin after each decade can be represented by multiplying its current value by .
For a 10% increase, the rate of increase is 0.10, so the value after each decade is multiplied by .
STEP 5
This type of growth, where the value is multiplied by a constant factor over equal time intervals, is characteristic of an exponential function.
The function that best models the relationship between time and the coin's value is an:
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