Question

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%

Answer 1

Option b.

Explanation:

If the starting value a, the growth factor b, and the growth rate r, then

`Q=ab^t=a(1+r)^t` ...(1)

It is given that

`Q=1750(1.593)^t` ...(2)

On comparing (1) and (2), we get

`a=1750, b=1.593`

Now, equation (2) can be rewritten as

`Q=1750(1+0.593)^t` ...(3)

On comparing (1) and (2), we get

`r=0.593`

`r=(0.593* 100)\%`

`r=59.3\%`

Therefore, the correct option is b.