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A function h(t) increases by 0.15 over every unit interval in t and h(0)=0.Which could be a function rule for h(t)?

Question

A function h(t) increases by 0.15 over every unit interval in t and h(0)=0.Which could be a function rule for h(t)?

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Solution

The function h(t) is a linear function because it increases by a constant rate over every unit interval in t. The slope of the function is 0.15, which is the rate of increase. The function passes through the point (0,0) because h(0)=0.

Therefore, the function rule for h(t) could be h(t) = 0.15t. This is because for every increase in t by 1 unit, h(t) increases by 0.15 units.

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