Given h of x is equal to 5 to the x th power , what is the factor by which h of x increases for every unit increase in x ?

For an exponential function h(x) = 5^x, increasing x by 1 multiplies the output by 5: h(x + 1) = 5^(x + 1) = 5 · 5^x. Therefore, h(x) increases by a factor of 5, which is choice B.

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