Answer:
none of the above
f(x) ≈ 197·1.03^x; approximately 3% daily
Step-by-step explanation:
If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...
f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x
f(x) ≈ 197·1.03^x
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The daily multiplier of 1.03 represents a daily growth rate of
1.03 -1 = .03 = 3%
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These answers are not found among the offered choices:
f(x) = 197·1.03^x
3% daily growth
Step-by-step explanation:
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78 gallons is the same as 312 quarts
Answer:
A linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
An exponential equation is written as:
y = A*(r)^x
Where A is the initial quantity and r is the rate of growth.
If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.
They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.