A local recreation center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

a. Write an equation that represents the total cost of the membership. (Suppose that y is the total cost and x the the number of classes)

b. Carly spent $500 one year. How many aerobics classes did she take?

a. y = 265 + 5x

b. 500 = 265 + 5x

   5x = 500 - 265

   5x = 235

   x = 235/5

   x = 47

She took 47 aerobic classes.    

Step-by-step explanation:

Total Cost is yearly cost + 5 into however many aerobic classes you take.

Find the number of classes by substituting values in the equation.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°