Question

Two different memberships are available at a discount department store. The Type A
membership costs $200 and allows you to enter the store and take 75% off the marked price.
The Type B membership costs $50 and allows you to enter the store and pay 62.5% of the
marked price.
The equations and graph below describe the total cost in dollars, c, for each membership type
that a person would spend on p dollars of merchandise.

Type A membership: c = 0.25p + $200

Type B membership: c = 0.625p + $50

Answer 1

How many dollars worth of merchandise would a person have to buy for the cost of the Type A
membership to equal the cost of the Type B membership?

Answer 2

please show how you got the answer

Answer 3

set the two different memberships equal to each other and solve for p:
0.25p + $200 = 0.625p + $50
(you might want to multiply both sides by 1,000 to get rid of the decimals)

Answer 4

250p + 200,000 = 625p + 50,000

Answer 5

thanks

Answer 6

if you got p = 400, you are right

Answer 7

thanks so much

Answer 8

any time