Which of the choices below follow an exponential pattern? Select all that apply.division of skin cells every half hoursmall graph of y+x^2y= 4 times 3^xdriving at a constant rate of 55 mphy=2x^3GRAPHx y5 76 107 13 8 16
Accepted Solution
A:
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).