Awater park charges a rental fee plus $1.50 per hour to rent inflatable rafts. the total cost to rent a raft do 6 hours is $15. assume the relationship is linear. find and interpret the rate of change and the initial value.

rental fee = $6

average cost for 6 hours = $2.50/hour.

Step-by-step explanation:

x + 1.50*6 = 15       where x = the initial rental fee

x + 9 = 15

x = $6

The rental fee is $6.

For 6 hours, the cost per hour works out to 15/6 = $2.50

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

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.