A gym offers two options for membership plans. Option A includes a one-time fee of $121 and then costs $1 per day. Option B has no initiation fee but costs $12 per
day.
a) Write an equation for the cost of each option.
b) After how many days will the cost of the two options be the same? How
much will both options cost at that time?

whatvare the choices

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).