The function of the exponential decay will be y = 870(0.75)ˣ. Then the value of the quantity after 10 weeks will be 49.
Consider the function:
y = a(1 ± r)ˣ
where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction.
If there is a negative sign, then there is exponential decay happening by r fraction.
A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.
Then the function is given as
y = 870(0.75)ˣ
Then the value of the quantity after 10 weeks will be
y = 870(0.75)¹⁰
y = 870 (0.0563)
y = 48.99
y ≅ 49
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