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# Rate of Electricity Used

APCALC-SYRC4R

The rate of electricity used in a single family home is given by $r( t ) ={ t }^{ 2 }+6t+3,$ where $r$is measured in kilowatts/minute.

On the interval $[0, 6]$, how many kilowatts have been used after $3$ minutes if the initial usage was measured to be $10$ kilowatts?

A

$37$

B

$27$

C

$12$

D

$10$