Which of the choices below follow an exponential pattern? Select all that apply.

division of skin cells every half hour
small graph of y+x^2
y= 4 times 3^x
driving at a constant rate of 55 mph
y=2x^3
GRAPH
x y
5 7
6 10
7 13
8 16

Respuesta :

The correct answers are the division of skin cells every half hour and the equation
y=4(3)ˣ.

The division of skin cells can be modeled by the equation
y=a(b)ˣ, where a is the initial number of cells and b is the fraction they are divided into (half, fourth, etc.)
Since x is an exponent, this is exponential.

This is the same reason the equation is exponential; x is the exponent.

The second choice, y=x², would be quadratic, since x is raised to the second power.
Driving at a constant rate is linear, due to the constant rate of change.
y=2x³ is cubic, since x is raised to the 3rd power.
The table would be linear, since there is a constant rate of change (up 3 over 1, a slope of 3).

The correct answers are the division of skin cells every half hour and the equation y=4(3)ˣ.

The division of skin cells can be modeled by the equation.

What is the meaning of exponential function?

y=a(b)ˣ,

where a is the initial number of cells and b is the fraction they are divided into half, fourth, etc.

Since x is an exponent, this is exponential.

This is the same reason the equation is exponential.

x is the exponent.

The second choice, y=x², would be quadratic

Since x is raised to the second power.

Driving at a constant rate is linear, due to the constant rate of change.

y=2x³ is cubic.

Since x is raised to the 3rd power.

The table would be linear.

Since there is a constant rate of change.

To learn more about the exponential function visit:

https://brainly.com/question/2456547