The same exponential growth function can be written in the forms y() - yo e t, y(t)- yo(1 r, and y) yo2 2. Write k as a function of r, r as a function of T2, and T2 as a function of k Write k as a function of r. k(r)-

Step-by-step explanation:

Given

Solving (a): k(r)

Equate and

Cancel out common terms

Take ln of both sides

Rewrite as:

Divide both sides by t

Hence:

Solving (b): r(T2)

Equate and

Cancel out common terms

Take t th root of both sides

Make r the subject

Hence:

Solving (c): T2(k)

Equate and

Cancel out common terms

Take ln of both sides

Rewrite as:

Divide both sides by t

Cross multiply

Make T2 the subject

Hence:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

$12. that is my answer.