Question

question 3 0/1 pt 100 details the following table shows the daily receipts in millions of dollars of the movie the hunger games after its opening on 23 march 2012. days $receipts 21 21.096 35 10.814 49 4.505 63 2.311 77 1.072 91 0.624 105 0.315 119 0.182 find the average rate of change of the daily receipts from day 21 to day 63. $ millions / day question help: video message instructor submit question jump to answer

Explanation:

Step1: Identify values at day 21 and day 63

At day 21, receipts ($R_{21}$) = 21.096 million. At day 63, receipts ($R_{63}$) = 2.311 million. The number of days between day 21 and day 63 is $63 - 21 = 42$ days.

Step2: Apply average rate of change formula

The formula for average rate of change is $\frac{\Delta R}{\Delta t}=\frac{R_{63}-R_{21}}{63 - 21}$. Substitute the values: $\frac{2.311 - 21.096}{42}$.

Step3: Calculate the numerator and denominator

First, calculate the numerator: $2.311 - 21.096=- 18.785$. The denominator is 42. Then, $\frac{-18.785}{42}\approx - 0.447$.

Answer:

\boxed{-0.447} (rounded to three decimal places, or as per required precision)