During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes. Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the x- and y-axes with appropriate labels. You may use description words instead of numbers to label the graph.

I'm not sure if the warm up speed is less than the cool down speed.  If it is different than how I did it you just need to swap their positions on the y axis, so the "lumps" or whatever you want to call the shapes will be in opposite positions.  The middle one will stay the same because it is the fastest and in between the two happening.  Also let me know if you can't read any of the labels

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.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.