A function h(t) increases by a factor of 10 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 10 over every unit interval in t and h(0)=1.Which could be a function rule for h(t)?
Solution 1
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 10 over every unit interval in t. This means that b = 10.
Therefore, a possible function rule for h(t) could be h(t) = 1*10^t or simply h(t) = 10^t.
Solution 2
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 10 over every unit interval in t. This means that b = 10.
Therefore, a possible function rule for h(t) could be h(t) = 1*10^t or simply h(t) = 10^t.
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