Math Problem question

Question

Paolina has is an artist that can create 18 math paintings per day. Someone is

willing to pay Paolina $35/paints plus $1000 bonus.

a. Find an algebraic expression that relates the number of paintings Paolina paints to

the number of days she paints.

b. Find and algebraic expression that relates the revenues based on the number of

paintings sold.

c. Create a composite function that relates the number of days Paolina paints with

the revenue she can generate.

d. How much will Paolina make if she paints for 5 days?

Answer 1

a. Find an algebraic expression that relates the number of paintings Paolina paints to

the number of days she paints.

p = 18 × d

b. Find and algebraic expression that relates the revenues based on the number of

paintings sold.

revenue per painting = $1000 + $35 × p

c. Create a composite function that relates the number of days Paolina paints with the revenue she can generate.

revenue per day = $1000 + $35 × 18 × d

d. How much will Paolina make if she paints for 5 days?

d = 5

revenue for 5 days = $1000 + $35 × p × d

= $1000 + $35 × 18 × 5

= $1000 + $3150

= $4150