Coupon A gives the lower price,is $3.75 less than the price with coupon b
Step-by-step explanation
Step 1
get the final price
a) Coupon A
$ 18 rebate on a $95 bycicle
so, the final price is
![\begin{gathered} \text{final price=original price-discoutn} \\ \text{ final price=\$95 -\$18} \\ \text{ final price(a)=\$77} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4yq543ausgpf8u5qt1m5oeoppgygm0h0h3.png)
b) 15% off of a $95 bucycle
fint, the value for 15% of $95
![15\text{ percent=}\frac{\text{15}}{100}=0.15](https://img.qammunity.org/2023/formulas/mathematics/college/6jtb2yzkczwwisjnxyp8lzashhiyzl3eh6.png)
so, to know the value for 15% of $95,do:
![\text{discount}=0.15\cdot95=14.25](https://img.qammunity.org/2023/formulas/mathematics/college/jgmbw7atcxbksxw0f5wtlibapc6itc72cn.png)
the discount for coupon b is $14.25,
hence the final price is
![\begin{gathered} \text{ Final price=\$95 -\$14.25} \\ \text{ Final price=80.75} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2uozau0hrdv5lz4k3evxjbx2gbwnbk04pg.png)
Hence,
![\text{ Final price(B)=\$ 80.75}](https://img.qammunity.org/2023/formulas/mathematics/college/8hclwr33bxnd31yx70gsg9bvrdmae4f2b2.png)
Step 2
compare the prices(difference)
![\begin{gathered} \text{Price(a)}=77 \\ \text{Price(b)}=80.75 \\ \text{pric e(b)-price(a)=80.75-77=3.75} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hd2hbx1bdso2tfehfj3q1e3xiyuzddbsz7.png)
I hope this helps you