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Use the graph below which shows the profit y in thousands of dollars of a company in a given year t where t represents the number of years since 1980 find the linear function y where y depends on t the number of years since 1980 Y=_

Use the graph below which shows the profit y in thousands of dollars of a company in a given year t where t represents the number of years since 1980 find the l class=

Respuesta :

First we need to find the slope by using two points

(15,190)=(t1,y1)

(25,170)=(t2,y2)

[tex]m=\frac{y_2-y_1}{t_2-t_1}=\frac{170-190}{25-15}=\frac{-20}{10}=-2[/tex]

Then we calculate the y-intercept

[tex]190=-2(15)+b[/tex]

we isolate the b

[tex]b=190+30=220[/tex]

The equation is

[tex]y=-2t+220[/tex]