The graph represents the number y of visitors to a new art gallery after x months. Write an exponential function that represents this situation. Approximate the number of visitors, to the nearest person, after 5 months. Y=_

About ___ visitors

Step-by-step explanation:

Formula for exponential function:

Use two points from the graph to determine the function:

Substitute the coordinates and work out the values of a and b:

The function is:

The number of visitors after 5 months:

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

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).