a framing bias
rodrigo is subject to a framing bias i believe.
we are given the table representing an exponential function.
we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.
i.e. the following relation is obtained,
x = 1, y = 6
x = 2, y = 36 =
x = 3, y = 216 =
x = 4, y = 1296 =
x = 5, y = 7776 =
so, the geometric series obtained is .
thus, the common ratio is given by = = 6.
hence, the common ratio is 6.
p ÷ r = tan(x)
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).