Respuesta :

Answer:

180 = 150m + c

177.25 mm

Step-by-step explanation:

L = mT + c

180 = m(150) + c

180 = 150m + c

c = 180 - 150m

181.5 = 210m + c

181.5 = 210m + 180 - 150m

1.5 = 60m

m = 0.025

c = 180 - 150(0.025)

c = 180 - 3.75

c = 176.25

L = 0.025T + 176.25

T = 40

L = 0.025(40) +176.25

L = 177.25 mn

Answer:

180 = m*150 +c

L= 177.25

Step-by-step explanation:

L = mT + c

We know T = 150 and L = 180

180 = m*150 +c

Then we are given T = 210 and L =181.5

181.5 = m210 + c

We have two equations and two unknowns

181.5 = m210 + c

180 = m*150 +c

Subtract the second equation from the first

181.5 = m210 + c

-180 = -m*150 -c

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1.5 = 60m

Divide each side by 60

1.5/60 =m

.025 = m

Now we need to find c

180 = .025*150 +c

180 =3.75+c

Subtract 3.75 from each side

180-3.75 =c

176.25

The equation is then

L = .025T + 176.25

Let T= 40

L = .025(40) +176.25

L = 1+176.25

L= 177.25