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Avto, ki vozi s hitrostjo 100km/h, prevozi vsako uro 100km. Odvisnost poti od časa vidimo v tabeli . Isto odvisnost vidimo tudi v grafu. 57.1. s[km]=Y. 400. 300. 200. 100. t[h]=X. 1. 2. 3. 4. Avto, ki vozi z večjo hitrostjo 200km/h, prevozi vsako uro 200km.

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57.1

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  1. Avto, ki vozi s hitrostjo 100km/h, prevozi vsako uro 100km. Odvisnost poti od časa vidimo v tabeli. Isto odvisnost vidimo tudi v grafu. 57.1 s[km]=Y 400 300 200 100 t[h]=X 1 2 3 4

  2. Avto, ki vozi z večjo hitrostjo 200km/h, prevozi vsako uro 200km. Pot (s) se hitreje povečuje. 57.2 s[km]=Y 800 700 600 500 400 300 200 100 t[h]=X 1 2 3 4

  3. 57.3 Primerjajmo tabeli vrednosti spremenljivk obeh avtomobilov.

  4. 57.4 Primerjajmo grafa prevoženih poti obeh avtomobilov. s2[km]=Y 800 s1[km]=Y 700 600 500 400 400 300 300 200 200 100 100 t[h]=X t[h]=X 1 2 3 4 1 2 3 4

  5. 57.5 Enačba za izračun prevožene poti:s=v×ts izračunamo – je odvisna (y)t izberemo – je neodvisna (x)v je podana – strmina grafa (k) s[km]=Y 400 300 200 100 t[h]=X 1 2 3 4

  6. Primerjajmo enačbi za izračun prevoženih poti obeh avtomobilov. 57.6 s2=v2×t s1=200km/h×t s1=v1×t s1=100km/h×t s2[km]=Y 800 s1[km]=Y 700 600 500 400 400 300 300 200 200 100 100 t[h]=X t[h]=X 1 2 3 4 1 2 3 4

  7. 57.7 Zapišimo enačbo za izračun prevožene poti še drugače:s=v×ts je odvisna (y)t je neodvisna (x)v je strmina grafa (k) s=yt=xv=k y=k×x

  8. graf, tabela, smerni koeficient, strmina, enačba 57.8

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