For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the
1 answer:
A pair of functions that continuously develop faster than the exponential are shown in Graph C (refer to the graph attached).
What is Exponential growth?
Quantity increases over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with regard to time seems to be proportional to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time. The quantity decreases with time and is said to be experiencing exponential decay if indeed the proportionality constant is negative. It is also known as geometric growth as well as geometric decay when the discrete domain of definition has equal intervals because the function values shape a geometric progression.
The exponential pair of functions is continually rising quicker for graph C.
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Answer:
<h2>A, C</h2>Step-by-step explanation:
The distributive property:
<em>a(b + c) = ab + ac </em>or<em> a(b - c) = ab - ac</em>
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Answer:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t <
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.