1. Diego runs a 10 kilometer race and keeps track of his speed. What was diegos speed at the kilometer mark in the race?
1 answer:
Answer: 10 km/ hr
Step-by-step explanation:
In the graph below, Diego's speed at various points during his 10 kilometer race is shown on the y axis while the distance is shown on the x axis.
Looking at the 1km mark on the x axis, Diego's speed on the y-axis is at 10km/ hr and this was the speed he started the race with. After the kilometer mark however, his speed changed and went on to increase to 11km/ hr by the second kilometer mark.
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Points are (0,14.2)(10,12.4)
slope m=
=
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y= mx+b --------------(i)
here m is slope and b is intercept
plug the 1st point in equation
14.2= -0.018(0) + b
b=14.2
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replace y with p(t) and x with t
p(t) = -0.018t + 14.2