a car dealership is offering $1,500 cash back on the purchase of a new vehicle. the cost, after the cash…

a car dealership is offering $1,500 cash back on the purchase of a new vehicle. the cost, after the cash back, of a new vehicle can be modeled by the function c(x)=x - 1,500, where x is the original price of the vehicle. the vehicle is subject to a sales tax of 8.43%, so the total price of the vehicle is represented by the function p(c)=1.0843c. which function can be used to represent the final price of the vehicle based on the original price, after the discount and tax have been applied? c(p(x)) = 1.0843x - 1,500 c(p(x)) = 1.0843x - 1,626.45 p(c(x)) = 1.0843x - 1,500 p(c(x)) = 1.0843x - 1,626.45

a car dealership is offering $1,500 cash back on the purchase of a new vehicle. the cost, after the cash back, of a new vehicle can be modeled by the function c(x)=x - 1,500, where x is the original price of the vehicle. the vehicle is subject to a sales tax of 8.43%, so the total price of the vehicle is represented by the function p(c)=1.0843c. which function can be used to represent the final price of the vehicle based on the original price, after the discount and tax have been applied? c(p(x)) = 1.0843x - 1,500 c(p(x)) = 1.0843x - 1,626.45 p(c(x)) = 1.0843x - 1,500 p(c(x)) = 1.0843x - 1,626.45

Answer

Explanation:

Step1: Sustituir la función $C(x)$ en $P(C)$

Tenemos $C(x)=x - 1500$ y $P(C)=1.0843C$. Sustituyendo $C$ por $C(x)$ en $P(C)$: $P(C(x))=1.0843(x - 1500)$

Step2: Expandir la expresión

$P(C(x))=1.0843x-1.0843\times1500$ $1.0843\times1500 = 1626.45$, entonces $P(C(x))=1.0843x - 1626.45$

Answer:

$P(C(x)) = 1.0843x - 1626.45$ (la última opción)