It is known that UVI values have an exponential relationship with altitude: for every 300-meter increase in altitude, the UVI value increases by 4\% of the value before the increase. At ground level, the ultraviolet radiation received from the sun is 400 joules per square meter. At a mountain 4500 meters above ground level, the UVI value of the ultraviolet radiation received is which of the following options? (Single choice question, 3 points) (1) $4 ( 1 + 0.04 \times 15 )$ (2) $4 \left( 1 + 0.04 ^ { 15 } \right)$ (3) $4 ( 1 + 0.04 ) ^ { 15 }$ (4) $4 \times 100 ( 1 + 0.04 ) ^ { 15 }$ (5) $4 \times 100 \left( 1 + 0.04 ^ { 45 } \right)$
It is known that UVI values have an exponential relationship with altitude: for every 300-meter increase in altitude, the UVI value increases by 4\% of the value before the increase. At ground level, the ultraviolet radiation received from the sun is 400 joules per square meter. At a mountain 4500 meters above ground level, the UVI value of the ultraviolet radiation received is which of the following options? (Single choice question, 3 points)\\
(1) $4 ( 1 + 0.04 \times 15 )$\\
(2) $4 \left( 1 + 0.04 ^ { 15 } \right)$\\
(3) $4 ( 1 + 0.04 ) ^ { 15 }$\\
(4) $4 \times 100 ( 1 + 0.04 ) ^ { 15 }$\\
(5) $4 \times 100 \left( 1 + 0.04 ^ { 45 } \right)$