As an image consultant, antonio is well paid by his celebrity clients. for 20 hours of work, his fee is $1625. he charges $3500 for 45 hours of his time. express his fee in terms of his hourly rate. what is the fee for 40 hours of his time?

The fee for 40 hours of his time is $3,125

Step-by-step explanation:

Let

x -----> the number of hours

y ----> the amount in dollars of Antonio;s fee

we have

For x=20, y=1,625 -----> ordered pair (20,1,625)

For x=45, y=3,500) ----> ordered pair (45,3,500)

Find the linear equation

step 1

Find the slope of the line m

The slope between two points is equal to

substitute the values

step 2

Find the equation of the line in point slope form

we have

 and

substitute

Convert to slope intercept form

Determine the fee for 40 hours of his time

For x=40 h

substitute in the equation

the answer to the question is a  

it has the same slope and the same y-intercept.

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.