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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%

Respuesta :

Answer:

Option b.

Step-by-step explanation:

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

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

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

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

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

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.

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