PLEASE HELP ME ANY ANSWERS PLEASEEEE I DONT UNDERSTAND THIS!!!!!) Marina wants to purchase a rosebush for d dollars at a garden store. She has a coupon good for $5 off her purchase, and the store is having a 10% off sale.
PART A
write two different, equivalent expressions for how much the rosebush will cost if the coupon is applied first and the 10% discount second.
PART B
write an expression for how much the rosebush will cost if the 10% discount is applied first and the coupon is applied second.
PART C
which order will save marina more money? explain your reasoning.

If we apply the coupon first, we have [tex]d-5[/tex], because we are subtracting 5 dollars from the total price. Then, if we apply the discount, we get [tex]0.9(d-5)[/tex]. It is a 10% discount, which means the price will end up being 90% of the original price, so we need to multiply the price by 0.9. To get the second equation, I distributed the 0.9 (multiplied it by both parts of the equation in parentheses) to get [tex]0.9d-4.5[/tex].

PART B: [tex]0.9d-5[/tex]

If we apply the discount first, we get [tex]0.9d[/tex]. Then, when we apply the coupon, we subtract 5 dollars from that price, getting [tex]0.9d-5[/tex].

PART C: Discount, then coupon.

To figure out which order will save more money, we look at the simplified equations for each order. In the first order, we end up subtracting 4.5 from [tex]0.9d[/tex], and in the second order, we end up subtracting 5 from [tex]0.9d[/tex]. In the second order, we are subtracting more money, so the price will be lower and she will save more money.