Atortoise and a hare are competing in a 1200-meter race. the arrogant hare decides to let the tortoise have a 540-meter head start. when the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second. let t represent the number of seconds that have elapsed since the start gun was fired. write an expression in terms of t that represents the hare's distance from the starting line (in meters). write an expression in terms of t that represents the tortoise's distance from the starting line (in meters). write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare. who finishes the race first?

hare : A = 9t

tortoise: B = 540 + 6t

ahead: C = 540 - 3t

Step-by-step explanation:

Hi!

Lets call A to the distance of the hare to the starting line, and B the distance of the tortoise from the starting line.

At t = 0, A = 0 and B = 540. Then:

The number of meters (we call it C) the tortoise is ahead of the hare is:

To know who finishes first, we can find where both meet (the hare overtakes the tortoise). This happens when C = 0. The time of this event is t = 540/3 = 180.

How far are the runners at t = 180 ? At this time A = 9*180 =  1620 > 1200. Then the winner is the tortoise.

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality