4) the cost of membership at local country club is $125 per family member per month. each family also has to pay $75 in service fees. model the cost, c, for a membership for a family with x members. a) c(x) = 75x b) c(x) = 125x c) c(x) = 125x + 75 d) c(x) = 125 + 75x

C) C(x) = 125x + 75

Step-by-step explanation:

The membership of the local country club costs $125 per family member, since don't know the exact number of members, we will put an x next to 125 to describe per.  The $125 cost increases as x increases.  Each family, no matter what, has to pay 75 dollars, so we don't have to put a variable next to it because it is guaranteed.  

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).