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.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)