Question

on monday, a museum had 100 visitors. on tuesday, it had 140 visitors. estimate the percent change in the number of visitors to the museum. use pencil and paper. estimate how many people would have to visit the museum on wednesday to have the same estimated percent change between tuesday and wednesday as between monday and tuesday. explain your answer.

which of these is the best estimate for the percent change in the number of visitors to the museum?

a. 100% decrease
b. 50% increase
c. 25% increase
d. 75% decrease

Explanation:

Step1: Calculate visitor difference

$140 - 100 = 40$

Step2: Compute percent change

$\text{Percent Change} = \frac{40}{100} \times 100\% = 40\%$

Step3: Match to closest estimate

40% is closest to 50% increase.

Step4: Find Wednesday visitors

$\text{New Visitors} = 140 + (140 \times 0.4) = 140 + 56 = 196$
(Using the 40% change; for the estimated 50% change, it would be $140 + (140 \times 0.5) = 210$)

Answer:

B. 50% increase
To get the same estimated percent change, 210 visitors would need to visit on Wednesday (using the 50% estimated increase: $140 \times 1.5 = 210$). The actual percent change is 40%, which is closest to the 50% increase option.