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Mathematics 7 Online
rootbeer003:

helperoigjeoigr

rootbeer003:

1 attachment
Vocaloid:

try to come up with two equations in y = mx + b form; one for the 30-people scenario and one for the 50-people scenario since you are given neither m, nor b, you can only plug in x at this point

rootbeer003:

umm

rootbeer003:

30 = m(180) + b?

Vocaloid:

hm, no, x is the number of people, y is the total charge

Vocaloid:

(quick correction, you should be able to plug in both x and y into each equation)

rootbeer003:

180 = m(30) + b 220= m(50) + b

dude:

Those are just points (30,180) and (50,220) Use the formula to find the slope between two points ¯\_(ツ)_/¯ \(m=\large \frac{y_2-y_1}{x_2-x_1}\)

Vocaloid:

ah. I was going to suggest subtracting the two equations but that method works, too.

dude:

Either works ¯\_(ツ)_/¯ Whichever you feel most comfortable with

rootbeer003:

m = 220-180/50-30 40/20 m = 2

dude:

Yeah I got that too \(y=2x+b\) Substitute any point back into the equation to solve for b

rootbeer003:

any point?

dude:

(30,180) or (50,220)

rootbeer003:

180 = 2(30) + b

dude:

Okay, solve for b

rootbeer003:

120

dude:

Right Our equation is \(y=2x+120\) Base rate means the flat fee for the bus which is basically $120 The cost for each person is $2

rootbeer003:

oho k

dude:

Yes

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