Write a function rule for the table

Step-by-step explanation:

Let d is the number of days and c is the cost to rent

Lets find the difference in the cost of rent

50-34=16

66-50=16

82-66=16

Difference is a constant. so we use linear equation y=mx+b

m is the constant rate, x is our d and y is our 'c' cost

The equation becomes

To find out 'b' we use first row in the table

Plug in 1 for d and 34 for c

, subtract 16 from both sides

Function rule is

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.