I am purchasing a new couch on a total budget of $1,000, which includes the cost of the couch, as well as the cost of delivery. I have a coupon that discounts the price of the couch by 20%. The cost of delivery is $75, which is not discounted.
Which of the following inequalities can be used to model this scenario, where x represents the possible prices of the couch, before any discount, that will fall within my budget?
a.) 0.2x + 75 ≤ 1000
b.) 0.2 (x + 75) ≤ 1000
c.) 0.8x + 75 ≤ 1000
d.) 08(x + 75) < 1000