scott is a software salesperson. his base salary is $1600 and he makes $40 more for every copy of english is…

scott is a software salesperson. his base salary is $1600 and he makes $40 more for every copy of english is fun he sells. his total pay, p (in dollars), after selling c copies is given by the following function. p(c)=1600 + 40c answer the following questions. (a) if scotts total pay is $2880, how many copies did he sell? copies (b) what is scotts total pay if he sells 23 copies? $

scott is a software salesperson. his base salary is $1600 and he makes $40 more for every copy of english is fun he sells. his total pay, p (in dollars), after selling c copies is given by the following function. p(c)=1600 + 40c answer the following questions. (a) if scotts total pay is $2880, how many copies did he sell? copies (b) what is scotts total pay if he sells 23 copies? $

Answer

Explanation:

Step1: Resolver para c en el primer caso

Dado $P(c)=1600 + 40c$ y $P(c)=2880$, entonces $2880=1600 + 40c$.

Step2: Isolar el término con c

Restamos 1600 de ambos lados: $2880 - 1600=40c$, es decir $1280 = 40c$.

Step3: Calcular el valor de c

Dividimos ambos lados por 40: $c=\frac{1280}{40}=32$.

Step4: Calcular el pago total en el segundo caso

Sustituimos $c = 23$ en $P(c)=1600+40c$. Entonces $P(23)=1600 + 40\times23$.

Step5: Realizar la operación

$P(23)=1600+920 = 2520$.

Answer:

(a) 32 (b) 2520