leila is a software salesperson. her base salary is $1800 and she makes $60 more for every copy of history…

leila is a software salesperson. her base salary is $1800 and she makes $60 more for every copy of history is fun she sells. her total pay, p (in dollars), after selling c copies is given by the following function. p(c)=1800 + 60c. answer the following questions. (a) if leilas total pay is $3660, how many copies did she sell? copies (b) what is leilas total pay if she sells 23 copies? $

leila is a software salesperson. her base salary is $1800 and she makes $60 more for every copy of history is fun she sells. her total pay, p (in dollars), after selling c copies is given by the following function. p(c)=1800 + 60c. answer the following questions. (a) if leilas total pay is $3660, how many copies did she sell? copies (b) what is leilas total pay if she sells 23 copies? $

Answer

Explanation:

Step1: Set up equation for part (a)

Let $P(c)=1800 + 60c$. Given $P(c)=3660$, we set up the equation $3660=1800 + 60c$.

Step2: Solve for $c$ in part (a)

Subtract 1800 from both sides: $3660 - 1800=60c$, so $1860 = 60c$. Then divide both sides by 60: $c=\frac{1860}{60}=31$.

Step3: Calculate pay for part (b)

For $c = 23$, use the formula $P(c)=1800+60c$. Substitute $c = 23$ into the formula: $P(23)=1800+60\times23$.

Step4: Simplify for part (b)

First, calculate $60\times23 = 1380$. Then $P(23)=1800 + 1380=3180$.

Answer:

(a) 31 copies (b) $3180$