nat491
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Maria is a software salesperson. Her base salary is $2500 and she makes $40 more for every copy of Math is Fun she sells. Her total pay, P (in dollars), after selling c copies is given by the following. P=2500+40c

Answer the following questions:

A.) What is Maria's total pay if she sells 25 copies?
B.) If Maria's total pay is $3780, how many copies did she sell?​

Respuesta :

A. $3500

B. 32 copies

Step-by-step explanation:

Hi! We can use the formula given in the problem to solve both question parts.

Formula : [tex]\boxed{P=2500+40c}[/tex]

Where:

  • [tex]P ~ is ~ total ~ pay ~[/tex]
  • [tex]c ~ represents ~ copies ~sold[/tex]
  • [tex]40 ~ in ~ front ~ of ~ c ~ represents ~ price ~ per ~ copy ~ sold[/tex]

Let's use this information to solve!

Solving:

A.) To find Maira's total pay if she sells 25 copies, we just need to plug in 25 for [tex]c[/tex] in the equation and evalutate the value of P.

[tex]P = 2500 + 40 \times 25 \\ P = 2500 + 1000\\ \boxed{\boxed{ P = 3500}}[/tex]

B.) To find the amount of copies Maria sold, we must work backwards. Plug in $3780 for P(total pay) and work backwards to find the amount of copies.

[tex]3780 = 2500 + 40c\\ 3780 - 2500 = 40c\\1280 = 40c \\ \boxed{\boxed{c = 32}}[/tex]

That's it!

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