Question

For a $4D$ animation movie, fans buy $400$ tickets. For each consecutive show, the number of tickets fans buy increases by a factor of $1.5$. Which expression gives the number of tickets bought by the fans after $4$ consecutive shows?

• A. $400+(1.5+1.5+1.5+1.5)$
• B. $400+1.5+1.5+1.5+1.5$
• C. $400\times (1.5+1.5+1.5+1.5)$
• D. $400\times (1.5\times 1.5\times 1.5\times 1.5)$

Answer 1

The correct option is D $400\times (1.5\times 1.5\times 1.5\times 1.5)$

Number of tickets fans buy for the
$1^{st}$ show of the $4D$ movie $=400$
The number of tickets bought increases by a factor of 1.5 in every consecutive show.
By the end of the $2^{nd}$ show, the total number of tickets the fans bought $=400\times 1.5$
By the end of the $3^{rd}$ show, the total number of tickets the fans bought $=400\times 1.5\times 1.5$
By the end of the $4^{th}$ show, the total number of tickets the fans bought $=400\times 1.5\times 1.5\times 1.5$
By the end of the $5^{th}$ show, the total number of tickets the fans bought $=400\times 1.5\times 1.5\times 1.5\times 1.5$