SOLUTION: A store has two different coupons that customers can use. One coupon gives the customer $25 off their purchase, and the other coupon gives the customer 20% off of their purchase. S

Question 1123094: A store has two different coupons that customers can use. One coupon gives the customer $25 off their purchase, and the other coupon gives the customer 20% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon.
a. Suppose a customer wants to purchase a $140 item and apply the "$25 off" coupon first, and then the "20% off" coupon. How much will the item cost after applying the coupons?
b. Suppose a customer wants to purchase a $140 item and apply the "$25 off" coupon first, and then the "20% off" coupon. Use function notation to represent how much the item will cost (dollars) after applying the coupons.
c. Suppose a customer wants to purchase a $140 item and apply the "20% off" coupon first, and then the "$25 off" coupon. How much will the item cost after applying the coupons?

d. Suppose a customer wants to purchase a $140 item and apply the "20% off" coupon first, and then the "$25 off" coupon. Use function notation to represent how much the item will cost (dollars) after applying the coupons.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. 25% of 140 =$35 so $105 left, and 20% or that is $21, so $84 is the cost.
b. f(C)=[(140-(140*0.25))]*0.80, here instead of subtracting the 20% discount, one can multiply by 80% of the cost.
c. 20% of $140 is $28 and $112 is left. Take 25% of that and get $28, and the cost is $84.
d. f(C)=0.75{140-(0.20*140)]
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