The table shows the number of shoppers at Jacob's store over a period of five months:
Month 1 2 3 4 5
Shoppers 50 250 1,250 6,250 31,250
Did the number of people at Jacob's store increase linearly or exponentially?
Linearly, because the table shows an equal increase in number of shoppers for an equal increase in months
Exponentially, because the table shows an equal increase in number of shoppers for an equal increase in months
Linearly, because the table shows the number of shoppers increases by an equal factor for an equal increase in months
Exponentially, because the table shows the number of shoppers increases by an equal factor for an equal increase in months
Exponentially, because the table shows the number of shoppers increases by an equal factor for an equal increase in months
What is 3 to the power of two thirds equal to?
cube root of 9
square root of 9
cube root of 27
square root of 27
Cube root of 27
Which graph best represents the function f(x) = 4(1.5)x?
graph of increasing exponential function going through point 0, 2
graph of increasing exponential function going through point 0, 3
graph of increasing exponential function going through point 0, 1
graph of increasing exponential function going through point 0, 4
The graph of increasing exponential function going through point 0, 1 best represents the function f(x) = 4(1.5)^x.
Simplify square root of 2 over cube root of 2
To simplify the expression square root of 2 over cube root of 2, we can rewrite it as (2^(1/2))/(2^(1/3)).
Using the property of exponents, we can simplify this to 2^[(1/2)-(1/3)].
Next, we will find a common denominator for 2/3 and 1/2, which is 6.
So, we get 2^[(3/6)-(2/6)] = 2^(1/6).
Therefore, the simplified form of square root of 2 over cube root of 2 is 2^(1/6).
A function is shown:
f(x) = (1.93)x
What does the function represent?
Exponential growth of 7%
Exponential decay of 7%
Exponential growth of 93%
Exponential decay of 93%
The function f(x) = (1.93)x represents exponential growth of 93%.
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −6(1.02)x
x g(x)
−1 −5
0 −3
1 −1
2 1
Which equation best compares the y-intercepts of f(x) and g(x)?
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).