as an image consultant, antonio is well paid by his celebirty clients. for 20 ho

Question

as an image consultant, antonio is well paid by his celebirty clients. for 20 hours of work his fee is *1625. he chargers $3500 for 45 hours of his time. a. express his fee as a function of his hourly rate. b. what does the y-intercept represent? c. what is the fee for 40 hours of his time? as an image consultant, antonio is well paid by his celebirty clients. for 20 hours of work his fee is *1625. he chargers $3500 for 45 hours of his time. a. express his fee as a function of his hourly rate. b. what does the y-intercept represent? c. what is the fee for 40 hours of his time?

Explanation / Answer

To get an equation you need the slope and y-intercept. To find the slope you take the change in y over change in x: (3500-1625)/(45-20) = 75 To find the intercept, you plug in the slope to the linear equation y = mx+b and solve for b using one of your points: y = 75*x + b ... 1625 = 75*20 + b ... b = 125 now you have y = 75x + 125, which is the linear equation. The y-intercept represents the added cost for Antonio to work for you, without the hourly considered. If he works 0 hours, you just pay this. If he works for 1 hour, he pays the hourly for that (our slope tell us that this is $75) plus the $125 added cost. The fee for 40 hours of his tim is found by plugging 40 into our equation: y = 75*40 + 125 ... y = $3125

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.