Question

David does landscaping for private homes and businesses. He charges $40.00 to travel to the site and then $40.00 per hour for his services. The equation y = 40 + 40x models the charge for his services y for any number of hours x.


a. Graph the equation. Describe your graph.
b. What is the slope of the line? What does the slope represent?
c. What is the y-intercept of the line? What does the y-intercept represent?
d. Julia paid David $240.00 for his services. How many hours did David work?

Answer 1

plz help

Answer 2

y = 40 + 40x

y = 40 + 40(0) ... plug in x = 0

y = 40 + 0

y = 40

So one point on the graph is (0, 40)

Answer 3

y = 40 + 40x

y = 40 + 40(0) ... plug in x = 1

y = 40 + 40

y = 80

And another point on the graph is (1, 80)

Answer 4

Plot the two points (0, 40) and (1, 80)

Then draw a straight line through the two points to graph y = 40 + 40x

Answer 5

make sense?

Answer 6

yep thanks can u help with the other parts too plz

Answer 7

y = 40 + 40x

is the same as

y = 40x + 40

Answer 8

y = 40x + 40

is in the form

y = mx+b

m = 40 (slope)

b = 40 (y-intercept)

Answer 9

What does the slope represent?

it represents the idea that he's making $40 per hour (ie the total amount he's paid goes up $40 for each additional hour worked)

Answer 10

oh ok thanks that makes alot of scene

Answer 11

What does the y-intercept represent?

The y-intercept is 40 as well (just a coincidence though), so this means that he started out with $40. This is the fixed amount he charges regardless of how many hours he worked

Answer 12

part d)

y = 40 + 40x

240 = 40 + 40x

solve for x

Answer 13

thanks so much this stuf dosent go in to my brain when i see the problem

Answer 14

so the all the help u have given me is so nice thanks

Answer 15

hmm well you gotta translate it to your own language somehow

Answer 16

yw

Answer 17

ya lol