Question

1.) A painter can be paid in two ways.
Plan A: P500 plus P4 per hour
Plan B: Straight P9 per hour
Suppose the job takes n hours. For what values of n is Plan A better for the painter?

Answer 1

can you write the equation for how much plan A costs if the job takes n hours?

Answer 2

If the job is 5 hours.. then it will be 5*4 equals to 20 then add 500 then the total is 520.

Answer 3

yes. use that exact same idea, but let the job be n hours.

Answer 4

uhh? then the solution would be? how? this is what mkes me more confuse

Answer 5

the idea is "n" hours can be treated the same as "5" hours.

when you say
If the job is 5 hours.. then it will be 5*4 equals to 20 then add 500 then the total is 520.

you do the same thing, except we use a letter n instead of 5:
If the job is n hours.. then it will be n*4 then add 500

of course we can't come up with a number, but the formula is correct: 4n+500

Answer 6

what about for plan B? how much is the painter paid for working n hours ?

Answer 7

i dont know what straight means for plan b.

Answer 8

I think it means the painter gets only so much per hour... nothing extra, like in plan A where he gets 500 right at the start...

Answer 9

so the equation would we 9*n?

Answer 10

exactly.

Answer 11

now to answer the question
For what values of n is Plan A better for the painter?

I assume better for the painter means he gets paid more.
he wants
money from plan A bigger than money from plan B

Answer 12

money from plan A is 4n+500
money from plan B is 9n

he wants
4n + 500 > 9n (the > means greater than)

Answer 13

i see :D thanks alot guru ^^

Answer 14

we still have to find "n"

4n+500 > 9n
add -4n to both sides
4n - 4n + 500 > 9n -4n
on the left 4n - 4n is 0
on the right we have 9 n's take away 4 n's leaving 5 n's
500 > 5n

divide by 5 on both sides
100 > n

we want n less than 100 hours for plan A to be better

Answer 15

then my answer would be 100 > n. he wants N less than 100 hours for plan A to be better from plan B.

Answer 16

yes

Answer 17

100 > n can be read as " 100 is greater than n" or "n is less than 100"
they mean the same thing

Answer 18

and this one too?
now to answer the question:
For what values of n is Plan A better for the painter?
I assume better for the painter means he gets paid more.
he wants money from plan A bigger than money from plan B

Answer 19

I only mentioned that to be clear about what "better" means... you don't need to mention it in your answer...

Answer 20

i see :)

Answer 21

thanks a lot.

Answer 22

But you could say, plan A pays the painter more than plan B when the number of hours worked is less than 100 hours

that is clear.

Answer 23

very clear sir :)