Question

a large movie - theater tracked its total number of tickets sold each day over a four - day period. the data is given in the table below.
date|number of tickets purchased
june 16, 2024|2997
june 17, 2024|3339
june 18, 2024|3544
june 19, 2024|3765
complete each of the following. pay careful attention to the data being compared in each case.
a. the number of tickets sold on june 17 was 1.114 times as large as the number of tickets sold on june 16. preview
correct! there were $\frac{3339}{2997}approx1.114$ times as many tickets sold on june 17 compared to june 16.
b. the number of tickets sold on june 17 was 111.4 percent of the number of tickets sold on june 16. preview
correct! there were $\frac{3339}{2997}approx1.114$ times as many tickets sold on june 17 compared to june 16, which means that the number of tickets sold on june 17 was about 111.4% of the number of tickets sold on june 16.
c. the number of tickets sold on june 18 was 106.1 percent of the number of tickets sold on june 17. preview
correct! there were $\frac{3544}{3339}approx1.061$ times as many tickets sold on june 18 compared to june 17, which means that the number of tickets sold on june 18 was about 106.1% of the number of tickets sold on june 17.
d. the number of tickets sold on june 26 was 155% of the number of tickets sold on june 16. this tells us that the number of tickets sold on june 26 was 19.3%

Explanation:

Step1: Calculate tickets on June 26

We know that the number of tickets sold on June 16 is 2997 and the number of tickets sold on June 26 is 155% of the number of tickets sold on June 16. To find the number of tickets sold on June 26, we use the formula: $Number\ of\ tickets\ on\ June\ 26=2997\times1.55$.
$2997\times1.55 = 2997\times(1 + 0.55)=2997\times1+2997\times0.55=2997+1648.35 = 4645.35\approx4645$

Answer:

4645