Every year, you measure the height of a child relative to a coat hook on the wall. In the first year, he was 2″ below the hook, the next year he was 1.5″ below the hook, the next year he was 0.75″ below the hook, the next year he was even with the hook, the next year he was 0.5″ above the hook, and the last year he was 1.5″ above the hook.

(a) What was the total amount the child grew?

(b) What was his average growth rate (in inches per year)?

(c) What was his absolute height at the end of the last year?