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A function h(t) increases by a factor of 1.25 over every unit interval in t and h(0)=1.Which could be a function rule for h(t)?

Question

A function h(t) increases by a factor of 1.25 over every unit interval in t and h(0)=1.Which could be a function rule for h(t)?

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Solution

The function described is an exponential growth function. The general form of an exponential function is h(t) = a*b^t, where a is the initial value and b is the growth factor.

Given that h(0) = 1, we know that a = 1.

The problem also states that the function increases by a factor of 1.25 over every unit interval in t, which means b = 1.25.

Therefore, a possible function rule for h(t) could be h(t) = 1*1.25^t or simplified to h(t) = 1.25^t.

This problem has been solved

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