Akid initially has 7.6 dollars and is given 0.2 dollars every weekend. the slope here is the 0.2. this is the value or increment in which the money is increasing. the y-intercept is the value we obtain from the equation when we set x to zero. similarly speaking, this is the original value which is 7.6. 

I believe you're supposed to come up with a formula for the amount of money the kid has after x weeks.  Surely sounds like a linear function.  The initial value is $7.60 and the slope is $0.20/week.  Thus, the function is

money accumulated = $7.60 + ($0.20/week)x   ... where x is the # of weeks that have gone by.

(Answer)

Answer: 10pi

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.

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