Question

math

Answer 1

well, if we want to know how much the attorney charges, we would multiply (hourly rate)*(number of hours) and then add the flat fee, right? so how might we express this as an equation?

Answer 2

in y= mx + b form

Answer 3

good, so what do you think would be your m and b values for attorney A?

Answer 4

y = 150x + 250
y= 150(26) + 250

Answer 5

good, so evaluating 150(26) + 250 would give you the fee for attorney A

any attempts on B, using the same reasoning?

Answer 6

(fee for 26 hours)

Answer 7

175x + 150
175(26) +150

Answer 8

awesome, so evaluating 175(26) +150 gives you the charge for attorney B

so after simplifying both 150(26) + 250 and 175(26) +150, which attorney is the better deal for 26 hours?

Answer 9

Attorney A, because its 4150 and attorney b is 4700

Answer 10

awesome

so for the last part of the question, "how many hours does this attorney (attorney A) become a better deal" do you know how to solve for this?

Answer 11

no

Answer 12

well, since we have

attorney A: y = 150x + 250
attorney B: y = 175x + 150

we want x such that attorney A < attorney B

so simply solve 150x + 250 < 175x + 150

Answer 13

still there?

you can start by subtracting 150x from both sides of the equation. this will move all the x-terms to one side

Answer 14

i was starting with dividing 175 from both sides and got confused lol, ill try what u said

Answer 15

150x+250 < 175x +150
-150 -150 -150 -150
100 < 25x
/25 /25
4< x

Answer 16

solution is right but need to be careful when showing your work

you have to subtract both 150x and 150 from both sides

so
150x+250 < 175x +150
-150x -150 -150x -150
100 < 25x
/25 /25
4< x

would be a more accurate way to show your work

Answer 17

ohh ok

Answer 18

but otherwise good

so since we got x > 4 we can conclude that attorney A starts being a better deal when x > 4, when there is more than 4 hours of work to be done

Answer 19

so to summarize:

the equations:
attorney A: y = 150x + 250
attorney B: y = 175x + 150

the charge for 26 hours:
attorney A = 150(26) + 250 = 4150
attorney B = 175(26) + 150 = 4700

solving for attorney A < attorney B
150x+250 < 175x +150
-150x -150 -150x -150
100 < 25x
/25 /25
4< x

making attorney A the better deal when the work requires more than 4 hours

and that's everything the question asks for

Answer 20

Great this helped me understand... im gonna make a new post and new question :)