Tuition is $29,637. increase is 5.1%. what is new cost?
1 answer:
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The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
- When x = 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
- When x = 3
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using .
Taking the points (1,40) and (2,55).
Slope =
i.e. Slope =
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation ,
We have,
i.e.
i.e. b= 25
Thus, the equation of the linear function is .
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So, i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.