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Select the correct answer. Joshua likes to read. He read 6 books when he was 6 years old. Every year he doubled the number of books he read the previous year. How many total books did he read between the ages of 6 and 10?

A. 60
B. 90
C.186
D.187

Respuesta :

Answer: C.186


Step-by-step explanation:

1. You know that he read 6 books when he was 6 years old and every year he doubled the number of books he read the previous year.

2. Let's call [tex]n[/tex] the number of book he read each year and [tex]n_t[/tex] the number of books he read between the ages of 6 and 10, then:

 - At 6 years old:

[tex]n=6[/tex]

- At 7 years old:

[tex]n=6*2=12[/tex]

- At 8 years old:

[tex]n=12*2=24[/tex]

- At 9 years old:

[tex]n=24*2=48[/tex]

- At 10 years old:

[tex]n=96[/tex]

The total books he read between the ages of 6 and 10 is:

[tex]n_t=6+12+24+48+96\\n_t=186[/tex]