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A car is traveling along a straight road. After one hour, the car is 72 miles from Chicago. After three hours, the car is 188 miles from Chicago. Determine an equation for the distance, d, the car is from Chicago after h-hours if the relationship between d and h is linear

Respuesta :

Answer:

d = 58 t + 14

Explanation:

given data

car is travel 1 hour  = 72 miles

car is travel 3 hour = 188 miles

solution

we consider here y axis as distance and x axis as time in hours

so here coordinate will be (1,72) and (3,188)

so

slope of line is

Slope of line = [tex]\frac{y2-y1}{x2-x1}[/tex]     ................1

put here value and we get

Slope of line = [tex]\frac{188-72}{3-1}[/tex]  

Slope of line = 58

so here equation of line with slope 58

and the point will be (1,72)

so distance

d - 72 = 58 × (t-1)    ...........2

d - 72 = 58 t - 58  

solve it we get

d = 58 t + 14

here t is in hours and   d is miles

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