An amusement park issued a coupon to increase the number of visitors to the
park each week. The function below represents the number of visitors at the
amusement park x weeks after the issuance of the coupon.
4x) = 500(1.5)
What is the approximate average rate of change over the interval [2, 6]?
A. 281 visitors per week
B. 949 visitors per week
C. 1,143 visitors per week
D. 762 visitors per week
Need help ASAP

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).