Exponential growth and decay functions are written in standard form f (t)= a_0•b^kt, where a_0 is an initial amount, b is the growth factor, k is the growth rate, and t is

Hello mate!

Exponential growth and decay functions are written as:

F(t) = A₀b^(kt)

We know that A₀ is the initial amount (at the time equal to zero)

b is the growth factor, k is the growth rate, and t is the time (the independent variable)

Note that b is a real and positive number, while A₀ and k can be also negative.

If k is a positive number, then as time grows, the product k*t also increases, and then the factor b^(kt) also increases, and now you have exponential growth.

if k is a negative number, you have the inverse situation, you have an exponential decay.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25