Question

On Monday a museum had 150 visitors on Tuesday it had 260 visitors A.estimate the percent change in the number of visitors to the museum b. about how many people would have to visit the museum on Wednesday to the same percent change from Tuesday to Wednesday as a Monday to Tuesday explain your answer

Answer 1

The percent change in the number of visitors from Monday to Tuesday is approximately 73.33%, and to maintain the same percent change, about 450 visitors would need to visit the museum on Wednesday.

Step-by-step explanation:

A) To estimate the percent change in the number of visitors to the museum from Monday to Tuesday, we first calculate the difference between the two days, and then divide that by the number of visitors on Monday, and finally multiply by 100 to convert it to a percentage. So:

1. Calculate the difference in visitors between the two days: 260 - 150 = 110 visitors.
2. Divide the difference by the number of visitors on Monday: 110 / 150 = 0.7333...
3. Multiply by 100 to get the percent change: 0.7333... x 100 ≈ 73.33%.

B) To find out approximately how many people would need to visit on Wednesday to have the same percent increase from Tuesday to Wednesday as from Monday to Tuesday:

1. Add 1 to the percent change expressed as a decimal: 1 + 0.7333... = 1.7333...
2. Multiply Tuesday's number of visitors by this number: 260 x 1.7333... ≈ 450.46.
3. Since we need a whole number for the count of visitors, round to the nearest person: approximately 450 visitors are needed for Wednesday to match the percent increase observed from Monday to Tuesday.