2) find the average rate of change from day 3 to day 6.\nshow work\n
2) find the average rate of change from day 3 to day 6.\nshow work\n
Answer
Explanation:
Step1: Identify the formula for average rate of change
The formula for the average rate of change of a function (y = f(x)) over the interval ([x_1,x_2]) is (\frac{f(x_2)-f(x_1)}{x_2 - x_1}). Here, (x) represents the day and (y) represents the number of tickets sold. For the interval from Day (3) ((x_1 = 3)) to Day (6) ((x_2=6)), (f(x_1)) is the number of tickets sold on Day (3) ((f(3)=28)) and (f(x_2)) is the number of tickets sold on Day (6) ((f(6) = 94)).
Step2: Substitute values into the formula
Substitute (x_1 = 3), (x_2=6), (f(x_1)=28), and (f(x_2)=94) into the formula (\frac{f(x_2)-f(x_1)}{x_2 - x_1}). We get (\frac{94 - 28}{6-3}). First, calculate the numerator: (94-28=66). Then, calculate the denominator: (6 - 3=3). So, (\frac{94 - 28}{6-3}=\frac{66}{3}).
Step3: Simplify the fraction
Simplify (\frac{66}{3}). Since (66\div3 = 22).
Answer:
(22)