Josiah and Chana travel at constant and different speeds.
- The point F indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana
<h3>How can the what the the point <em>F </em>represent be known?</h3>
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Expressing the distance traveled as an equation, we have;
D = d + s × t
Where;
D = The distance covered
d = The distance from the starting line the runner starts
s = The speed of the runner
t = The time spent running
For Josiah, we have;
D = 10 + 2•t (line <em>a</em>)
For Chana, we have;
D = 0 + 3•t = 3•t (line <em>b</em>)
The above equations are straight line equations.
The point <em>F </em>is on line <em>a</em>, which shows Josiah distance after 25 seconds which is 60 meters. The corresponding point on line <em>b</em>, Chana's distance after 25 minutes is 75 meters.
Therefore;
- The point <em>F </em>indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana
Learn more about straight line equations here:
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[ 1 ] Given
[ 2 ] Exterior Sides Opposite Rays
[ 3 ] Definition of Supplementary angles
[ 4 ] First substitution
[ 5 ] Subtraction Property of Equality
[ 6 ] Second Substitution
[ 7 ] If corrsp. equal, the lines ||