The equation y + 4x = 100 represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay
race. The equation y + 3.8x= 97 represents your opponent's distance from the finish line. How far do you need to run until you catch
up to your opponent?

  60 m

Step-by-step explanation:

You will catch your opponent when your time and distance (x, y) match those of your opponent. That is, we want to start our solution by finding the (x, y) values that satisfy both equations.

  (y +4x) -(y +3.8x) = (100) -(97)

  0.2x = 3

  x = 15 . . . . . after 15 seconds, both will be the same distance from the finish

Your rate of travel is 4 m/s (the coefficient of x in your distance equation). So, in that 15 seconds it takes to catch your opponent, you will have run ...

  (15 s)(4 m/s) = 60 m

You need to run 60 m to catch your opponent.

_____

You will catch your opponent 40 m from the finish line, which is 60 m from where you started at x=0.

omg what happend to your question? if you could edit this question i can

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.